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Finding the Third Proportional to 477,630 and 649,009.50

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Solution

The third proportional to 477,630 and 649,009.50 is: 881,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,630 : 649,009.50 = 649,009.50 : x
  2. Step 2: Convert to fraction form
    477,630/649,009.50 = 649,009.50/x
  3. Step 3: Cross multiply
    477,630x = 649,009.50 × 649,009.50
  4. Step 4: Simplify right side
    477,630x = 421,213,331,090.25
  5. Step 5: Solve for x
    x = 421,213,331,090.25/477,630
  6. Step 6: Final answer
    x = 881,882.07

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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.