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Finding the Third Proportional to 138,654 and 219,363

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Solution

The third proportional to 138,654 and 219,363 is: 347,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654 : 219,363 = 219,363 : x
  2. Step 2: Convert to fraction form
    138,654/219,363 = 219,363/x
  3. Step 3: Cross multiply
    138,654x = 219,363 × 219,363
  4. Step 4: Simplify right side
    138,654x = 48,120,125,769
  5. Step 5: Solve for x
    x = 48,120,125,769/138,654
  6. Step 6: Final answer
    x = 347,051.84

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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.