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Finding the Third Proportional to 102,942 and 156,411

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Solution

The third proportional to 102,942 and 156,411 is: 237,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942 : 156,411 = 156,411 : x
  2. Step 2: Convert to fraction form
    102,942/156,411 = 156,411/x
  3. Step 3: Cross multiply
    102,942x = 156,411 × 156,411
  4. Step 4: Simplify right side
    102,942x = 24,464,400,921
  5. Step 5: Solve for x
    x = 24,464,400,921/102,942
  6. Step 6: Final answer
    x = 237,652.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.