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Finding the Third Proportional to 257,972 and 390,853

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Solution

The third proportional to 257,972 and 390,853 is: 592,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,972 : 390,853 = 390,853 : x
  2. Step 2: Convert to fraction form
    257,972/390,853 = 390,853/x
  3. Step 3: Cross multiply
    257,972x = 390,853 × 390,853
  4. Step 4: Simplify right side
    257,972x = 152,766,067,609
  5. Step 5: Solve for x
    x = 152,766,067,609/257,972
  6. Step 6: Final answer
    x = 592,180.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.