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Finding the Third Proportional to 151,569 and 210,743

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Solution

The third proportional to 151,569 and 210,743 is: 293,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,569 : 210,743 = 210,743 : x
  2. Step 2: Convert to fraction form
    151,569/210,743 = 210,743/x
  3. Step 3: Cross multiply
    151,569x = 210,743 × 210,743
  4. Step 4: Simplify right side
    151,569x = 44,412,612,049
  5. Step 5: Solve for x
    x = 44,412,612,049/151,569
  6. Step 6: Final answer
    x = 293,019.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.