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Finding the Third Proportional to 424,558 and 576,897

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Solution

The third proportional to 424,558 and 576,897 is: 783,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,558 : 576,897 = 576,897 : x
  2. Step 2: Convert to fraction form
    424,558/576,897 = 576,897/x
  3. Step 3: Cross multiply
    424,558x = 576,897 × 576,897
  4. Step 4: Simplify right side
    424,558x = 332,810,148,609
  5. Step 5: Solve for x
    x = 332,810,148,609/424,558
  6. Step 6: Final answer
    x = 783,897.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.