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Finding the Third Proportional to 69,154 and 156,261

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Solution

The third proportional to 69,154 and 156,261 is: 353,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,154 : 156,261 = 156,261 : x
  2. Step 2: Convert to fraction form
    69,154/156,261 = 156,261/x
  3. Step 3: Cross multiply
    69,154x = 156,261 × 156,261
  4. Step 4: Simplify right side
    69,154x = 24,417,500,121
  5. Step 5: Solve for x
    x = 24,417,500,121/69,154
  6. Step 6: Final answer
    x = 353,088.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.