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Finding the Third Proportional to 78,316,875 and 165,969,729

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Solution

The third proportional to 78,316,875 and 165,969,729 is: 351,724,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,875 : 165,969,729 = 165,969,729 : x
  2. Step 2: Convert to fraction form
    78,316,875/165,969,729 = 165,969,729/x
  3. Step 3: Cross multiply
    78,316,875x = 165,969,729 × 165,969,729
  4. Step 4: Simplify right side
    78,316,875x = 27,545,950,944,333,440
  5. Step 5: Solve for x
    x = 27,545,950,944,333,440/78,316,875
  6. Step 6: Final answer
    x = 351,724,337.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.