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Finding the Third Proportional to 321,984 and 488,448

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Solution

The third proportional to 321,984 and 488,448 is: 740,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,984 : 488,448 = 488,448 : x
  2. Step 2: Convert to fraction form
    321,984/488,448 = 488,448/x
  3. Step 3: Cross multiply
    321,984x = 488,448 × 488,448
  4. Step 4: Simplify right side
    321,984x = 238,581,448,704
  5. Step 5: Solve for x
    x = 238,581,448,704/321,984
  6. Step 6: Final answer
    x = 740,972.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.