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Finding the Third Proportional to 436,558 and 656,461

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Solution

The third proportional to 436,558 and 656,461 is: 987,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,558 : 656,461 = 656,461 : x
  2. Step 2: Convert to fraction form
    436,558/656,461 = 656,461/x
  3. Step 3: Cross multiply
    436,558x = 656,461 × 656,461
  4. Step 4: Simplify right side
    436,558x = 430,941,044,521
  5. Step 5: Solve for x
    x = 430,941,044,521/436,558
  6. Step 6: Final answer
    x = 987,133.54

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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.