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Finding the Third Proportional to 398,310 and 597,897

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Solution

The third proportional to 398,310 and 597,897 is: 897,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,310 : 597,897 = 597,897 : x
  2. Step 2: Convert to fraction form
    398,310/597,897 = 597,897/x
  3. Step 3: Cross multiply
    398,310x = 597,897 × 597,897
  4. Step 4: Simplify right side
    398,310x = 357,480,822,609
  5. Step 5: Solve for x
    x = 357,480,822,609/398,310
  6. Step 6: Final answer
    x = 897,493.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.