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Finding the Third Proportional to 172,290,996 and 260,487,866

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Solution

The third proportional to 172,290,996 and 260,487,866 is: 393,833,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,290,996 : 260,487,866 = 260,487,866 : x
  2. Step 2: Convert to fraction form
    172,290,996/260,487,866 = 260,487,866/x
  3. Step 3: Cross multiply
    172,290,996x = 260,487,866 × 260,487,866
  4. Step 4: Simplify right side
    172,290,996x = 67,853,928,333,233,952
  5. Step 5: Solve for x
    x = 67,853,928,333,233,952/172,290,996
  6. Step 6: Final answer
    x = 393,833,281.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.