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Finding the Third Proportional to 78,230 and 106,287

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Solution

The third proportional to 78,230 and 106,287 is: 144,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230 : 106,287 = 106,287 : x
  2. Step 2: Convert to fraction form
    78,230/106,287 = 106,287/x
  3. Step 3: Cross multiply
    78,230x = 106,287 × 106,287
  4. Step 4: Simplify right side
    78,230x = 11,296,926,369
  5. Step 5: Solve for x
    x = 11,296,926,369/78,230
  6. Step 6: Final answer
    x = 144,406.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.