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Finding the Third Proportional to 239,648 and 516,160

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Solution

The third proportional to 239,648 and 516,160 is: 1,111,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,648 : 516,160 = 516,160 : x
  2. Step 2: Convert to fraction form
    239,648/516,160 = 516,160/x
  3. Step 3: Cross multiply
    239,648x = 516,160 × 516,160
  4. Step 4: Simplify right side
    239,648x = 266,421,145,600
  5. Step 5: Solve for x
    x = 266,421,145,600/239,648
  6. Step 6: Final answer
    x = 1,111,718.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.