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Finding the Third Proportional to 172,872,468 and 252,840,305.25

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Solution

The third proportional to 172,872,468 and 252,840,305.25 is: 369,799,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,872,468 : 252,840,305.25 = 252,840,305.25 : x
  2. Step 2: Convert to fraction form
    172,872,468/252,840,305.25 = 252,840,305.25/x
  3. Step 3: Cross multiply
    172,872,468x = 252,840,305.25 × 252,840,305.25
  4. Step 4: Simplify right side
    172,872,468x = 63,928,219,958,913,176
  5. Step 5: Solve for x
    x = 63,928,219,958,913,176/172,872,468
  6. Step 6: Final answer
    x = 369,799,891.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.