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Finding the Third Proportional to 394,403,391 and 615,481,537.50

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Solution

The third proportional to 394,403,391 and 615,481,537.50 is: 960,482,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,391 : 615,481,537.50 = 615,481,537.50 : x
  2. Step 2: Convert to fraction form
    394,403,391/615,481,537.50 = 615,481,537.50/x
  3. Step 3: Cross multiply
    394,403,391x = 615,481,537.50 × 615,481,537.50
  4. Step 4: Simplify right side
    394,403,391x = 378,817,523,003,363,904
  5. Step 5: Solve for x
    x = 378,817,523,003,363,904/394,403,391
  6. Step 6: Final answer
    x = 960,482,418.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.