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Finding the Third Proportional to 152,214 and 243,081

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Solution

The third proportional to 152,214 and 243,081 is: 388,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,214 : 243,081 = 243,081 : x
  2. Step 2: Convert to fraction form
    152,214/243,081 = 243,081/x
  3. Step 3: Cross multiply
    152,214x = 243,081 × 243,081
  4. Step 4: Simplify right side
    152,214x = 59,088,372,561
  5. Step 5: Solve for x
    x = 59,088,372,561/152,214
  6. Step 6: Final answer
    x = 388,192.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.