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Finding the Third Proportional to 477,628.88 and 649,008

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Solution

The third proportional to 477,628.88 and 649,008 is: 881,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,628.88 : 649,008 = 649,008 : x
  2. Step 2: Convert to fraction form
    477,628.88/649,008 = 649,008/x
  3. Step 3: Cross multiply
    477,628.88x = 649,008 × 649,008
  4. Step 4: Simplify right side
    477,628.88x = 421,211,384,064
  5. Step 5: Solve for x
    x = 421,211,384,064/477,628.88
  6. Step 6: Final answer
    x = 881,880.07

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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.