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Finding the Third Proportional to 462,968,340,152 and 996,875,550,748

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Solution

The third proportional to 462,968,340,152 and 996,875,550,748 is: 2,146,498,534,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,968,340,152 : 996,875,550,748 = 996,875,550,748 : x
  2. Step 2: Convert to fraction form
    462,968,340,152/996,875,550,748 = 996,875,550,748/x
  3. Step 3: Cross multiply
    462,968,340,152x = 996,875,550,748 × 996,875,550,748
  4. Step 4: Simplify right side
    462,968,340,152x = 993,760,863,679,128,337,907,712
  5. Step 5: Solve for x
    x = 993,760,863,679,128,337,907,712/462,968,340,152
  6. Step 6: Final answer
    x = 2,146,498,534,549.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.