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Finding the Third Proportional to 267,489.84 and 391,389.47

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Solution

The third proportional to 267,489.84 and 391,389.47 is: 572,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,489.84 : 391,389.47 = 391,389.47 : x
  2. Step 2: Convert to fraction form
    267,489.84/391,389.47 = 391,389.47/x
  3. Step 3: Cross multiply
    267,489.84x = 391,389.47 × 391,389.47
  4. Step 4: Simplify right side
    267,489.84x = 153,185,716,248.41
  5. Step 5: Solve for x
    x = 153,185,716,248.41/267,489.84
  6. Step 6: Final answer
    x = 572,678.63

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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.