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Finding the Third Proportional to 321,988 and 488,454

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Solution

The third proportional to 321,988 and 488,454 is: 740,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,988 : 488,454 = 488,454 : x
  2. Step 2: Convert to fraction form
    321,988/488,454 = 488,454/x
  3. Step 3: Cross multiply
    321,988x = 488,454 × 488,454
  4. Step 4: Simplify right side
    321,988x = 238,587,310,116
  5. Step 5: Solve for x
    x = 238,587,310,116/321,988
  6. Step 6: Final answer
    x = 740,981.99

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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.