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Finding the Third Proportional to 391,930.50 and 572,769

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Solution

The third proportional to 391,930.50 and 572,769 is: 837,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,930.50 : 572,769 = 572,769 : x
  2. Step 2: Convert to fraction form
    391,930.50/572,769 = 572,769/x
  3. Step 3: Cross multiply
    391,930.50x = 572,769 × 572,769
  4. Step 4: Simplify right side
    391,930.50x = 328,064,327,361
  5. Step 5: Solve for x
    x = 328,064,327,361/391,930.50
  6. Step 6: Final answer
    x = 837,047.20

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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.