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Finding the Third Proportional to 172,290,998 and 260,487,869

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Solution

The third proportional to 172,290,998 and 260,487,869 is: 393,833,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,290,998 : 260,487,869 = 260,487,869 : x
  2. Step 2: Convert to fraction form
    172,290,998/260,487,869 = 260,487,869/x
  3. Step 3: Cross multiply
    172,290,998x = 260,487,869 × 260,487,869
  4. Step 4: Simplify right side
    172,290,998x = 67,853,929,896,161,160
  5. Step 5: Solve for x
    x = 67,853,929,896,161,160/172,290,998
  6. Step 6: Final answer
    x = 393,833,286.03

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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.