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Finding the Third Proportional to 156,657 and 288,163

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Solution

The third proportional to 156,657 and 288,163 is: 530,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,657 : 288,163 = 288,163 : x
  2. Step 2: Convert to fraction form
    156,657/288,163 = 288,163/x
  3. Step 3: Cross multiply
    156,657x = 288,163 × 288,163
  4. Step 4: Simplify right side
    156,657x = 83,037,914,569
  5. Step 5: Solve for x
    x = 83,037,914,569/156,657
  6. Step 6: Final answer
    x = 530,061.95

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.