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Finding the Third Proportional to 72,654 and 156,440

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Solution

The third proportional to 72,654 and 156,440 is: 336,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,654 : 156,440 = 156,440 : x
  2. Step 2: Convert to fraction form
    72,654/156,440 = 156,440/x
  3. Step 3: Cross multiply
    72,654x = 156,440 × 156,440
  4. Step 4: Simplify right side
    72,654x = 24,473,473,600
  5. Step 5: Solve for x
    x = 24,473,473,600/72,654
  6. Step 6: Final answer
    x = 336,849.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.