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Finding the Third Proportional to 156,310 and 242,188

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Solution

The third proportional to 156,310 and 242,188 is: 375,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,310 : 242,188 = 242,188 : x
  2. Step 2: Convert to fraction form
    156,310/242,188 = 242,188/x
  3. Step 3: Cross multiply
    156,310x = 242,188 × 242,188
  4. Step 4: Simplify right side
    156,310x = 58,655,027,344
  5. Step 5: Solve for x
    x = 58,655,027,344/156,310
  6. Step 6: Final answer
    x = 375,248.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.