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Finding the Third Proportional to 230,032 and 502,710

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Solution

The third proportional to 230,032 and 502,710 is: 1,098,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,032 : 502,710 = 502,710 : x
  2. Step 2: Convert to fraction form
    230,032/502,710 = 502,710/x
  3. Step 3: Cross multiply
    230,032x = 502,710 × 502,710
  4. Step 4: Simplify right side
    230,032x = 252,717,344,100
  5. Step 5: Solve for x
    x = 252,717,344,100/230,032
  6. Step 6: Final answer
    x = 1,098,618.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.