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Finding the Third Proportional to 669,416 and 936,309

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Solution

The third proportional to 669,416 and 936,309 is: 1,309,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,416 : 936,309 = 936,309 : x
  2. Step 2: Convert to fraction form
    669,416/936,309 = 936,309/x
  3. Step 3: Cross multiply
    669,416x = 936,309 × 936,309
  4. Step 4: Simplify right side
    669,416x = 876,674,543,481
  5. Step 5: Solve for x
    x = 876,674,543,481/669,416
  6. Step 6: Final answer
    x = 1,309,610.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.