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Finding the Third Proportional to 436,556 and 656,458

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Solution

The third proportional to 436,556 and 656,458 is: 987,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,556 : 656,458 = 656,458 : x
  2. Step 2: Convert to fraction form
    436,556/656,458 = 656,458/x
  3. Step 3: Cross multiply
    436,556x = 656,458 × 656,458
  4. Step 4: Simplify right side
    436,556x = 430,937,105,764
  5. Step 5: Solve for x
    x = 430,937,105,764/436,556
  6. Step 6: Final answer
    x = 987,129.04

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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.