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Finding the Third Proportional to 147,331 and 321,650

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Solution

The third proportional to 147,331 and 321,650 is: 702,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,331 : 321,650 = 321,650 : x
  2. Step 2: Convert to fraction form
    147,331/321,650 = 321,650/x
  3. Step 3: Cross multiply
    147,331x = 321,650 × 321,650
  4. Step 4: Simplify right side
    147,331x = 103,458,722,500
  5. Step 5: Solve for x
    x = 103,458,722,500/147,331
  6. Step 6: Final answer
    x = 702,219.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.