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Finding the Third Proportional to 138,655 and 219,364

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Solution

The third proportional to 138,655 and 219,364 is: 347,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,655 : 219,364 = 219,364 : x
  2. Step 2: Convert to fraction form
    138,655/219,364 = 219,364/x
  3. Step 3: Cross multiply
    138,655x = 219,364 × 219,364
  4. Step 4: Simplify right side
    138,655x = 48,120,564,496
  5. Step 5: Solve for x
    x = 48,120,564,496/138,655
  6. Step 6: Final answer
    x = 347,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.