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Finding the Third Proportional to 480,554 and 720,831

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Solution

The third proportional to 480,554 and 720,831 is: 1,081,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,554 : 720,831 = 720,831 : x
  2. Step 2: Convert to fraction form
    480,554/720,831 = 720,831/x
  3. Step 3: Cross multiply
    480,554x = 720,831 × 720,831
  4. Step 4: Simplify right side
    480,554x = 519,597,330,561
  5. Step 5: Solve for x
    x = 519,597,330,561/480,554
  6. Step 6: Final answer
    x = 1,081,246.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.