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Finding the Third Proportional to 150,427 and 219,386

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Solution

The third proportional to 150,427 and 219,386 is: 319,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,427 : 219,386 = 219,386 : x
  2. Step 2: Convert to fraction form
    150,427/219,386 = 219,386/x
  3. Step 3: Cross multiply
    150,427x = 219,386 × 219,386
  4. Step 4: Simplify right side
    150,427x = 48,130,216,996
  5. Step 5: Solve for x
    x = 48,130,216,996/150,427
  6. Step 6: Final answer
    x = 319,957.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.