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Finding the Third Proportional to 391,835 and 597,887

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Solution

The third proportional to 391,835 and 597,887 is: 912,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,835 : 597,887 = 597,887 : x
  2. Step 2: Convert to fraction form
    391,835/597,887 = 597,887/x
  3. Step 3: Cross multiply
    391,835x = 597,887 × 597,887
  4. Step 4: Simplify right side
    391,835x = 357,468,864,769
  5. Step 5: Solve for x
    x = 357,468,864,769/391,835
  6. Step 6: Final answer
    x = 912,294.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.