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Finding the Third Proportional to 239,902 and 513,022

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Solution

The third proportional to 239,902 and 513,022 is: 1,097,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,902 : 513,022 = 513,022 : x
  2. Step 2: Convert to fraction form
    239,902/513,022 = 513,022/x
  3. Step 3: Cross multiply
    239,902x = 513,022 × 513,022
  4. Step 4: Simplify right side
    239,902x = 263,191,572,484
  5. Step 5: Solve for x
    x = 263,191,572,484/239,902
  6. Step 6: Final answer
    x = 1,097,079.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.