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Finding the Third Proportional to 391,931.16 and 572,773.78

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Solution

The third proportional to 391,931.16 and 572,773.78 is: 837,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,931.16 : 572,773.78 = 572,773.78 : x
  2. Step 2: Convert to fraction form
    391,931.16/572,773.78 = 572,773.78/x
  3. Step 3: Cross multiply
    391,931.16x = 572,773.78 × 572,773.78
  4. Step 4: Simplify right side
    391,931.16x = 328,069,804,487.42
  5. Step 5: Solve for x
    x = 328,069,804,487.42/391,931.16
  6. Step 6: Final answer
    x = 837,059.77

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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.