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Finding the Third Proportional to 415,937 and 661,166

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Solution

The third proportional to 415,937 and 661,166 is: 1,050,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,937 : 661,166 = 661,166 : x
  2. Step 2: Convert to fraction form
    415,937/661,166 = 661,166/x
  3. Step 3: Cross multiply
    415,937x = 661,166 × 661,166
  4. Step 4: Simplify right side
    415,937x = 437,140,479,556
  5. Step 5: Solve for x
    x = 437,140,479,556/415,937
  6. Step 6: Final answer
    x = 1,050,977.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.