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Finding the Third Proportional to 53,423,740 and 79,821,120

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Solution

The third proportional to 53,423,740 and 79,821,120 is: 119,261,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,423,740 : 79,821,120 = 79,821,120 : x
  2. Step 2: Convert to fraction form
    53,423,740/79,821,120 = 79,821,120/x
  3. Step 3: Cross multiply
    53,423,740x = 79,821,120 × 79,821,120
  4. Step 4: Simplify right side
    53,423,740x = 6,371,411,198,054,400
  5. Step 5: Solve for x
    x = 6,371,411,198,054,400/53,423,740
  6. Step 6: Final answer
    x = 119,261,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.