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Finding the Third Proportional to 477,630 and 649,011

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Solution

The third proportional to 477,630 and 649,011 is: 881,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,630 : 649,011 = 649,011 : x
  2. Step 2: Convert to fraction form
    477,630/649,011 = 649,011/x
  3. Step 3: Cross multiply
    477,630x = 649,011 × 649,011
  4. Step 4: Simplify right side
    477,630x = 421,215,278,121
  5. Step 5: Solve for x
    x = 421,215,278,121/477,630
  6. Step 6: Final answer
    x = 881,886.14

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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.