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Finding the Third Proportional to 172,287,087.75 and 378,049,491

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Solution

The third proportional to 172,287,087.75 and 378,049,491 is: 829,553,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287,087.75 : 378,049,491 = 378,049,491 : x
  2. Step 2: Convert to fraction form
    172,287,087.75/378,049,491 = 378,049,491/x
  3. Step 3: Cross multiply
    172,287,087.75x = 378,049,491 × 378,049,491
  4. Step 4: Simplify right side
    172,287,087.75x = 142,921,417,645,359,088
  5. Step 5: Solve for x
    x = 142,921,417,645,359,088/172,287,087.75
  6. Step 6: Final answer
    x = 829,553,854.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.