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Finding the Third Proportional to 391,930 and 572,770

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Solution

The third proportional to 391,930 and 572,770 is: 837,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,930 : 572,770 = 572,770 : x
  2. Step 2: Convert to fraction form
    391,930/572,770 = 572,770/x
  3. Step 3: Cross multiply
    391,930x = 572,770 × 572,770
  4. Step 4: Simplify right side
    391,930x = 328,065,472,900
  5. Step 5: Solve for x
    x = 328,065,472,900/391,930
  6. Step 6: Final answer
    x = 837,051.19

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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.