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Finding the Third Proportional to 155,002 and 219,387

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Solution

The third proportional to 155,002 and 219,387 is: 310,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,002 : 219,387 = 219,387 : x
  2. Step 2: Convert to fraction form
    155,002/219,387 = 219,387/x
  3. Step 3: Cross multiply
    155,002x = 219,387 × 219,387
  4. Step 4: Simplify right side
    155,002x = 48,130,655,769
  5. Step 5: Solve for x
    x = 48,130,655,769/155,002
  6. Step 6: Final answer
    x = 310,516.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.