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Finding the Third Proportional to 138,528 and 210,708

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Solution

The third proportional to 138,528 and 210,708 is: 320,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,528 : 210,708 = 210,708 : x
  2. Step 2: Convert to fraction form
    138,528/210,708 = 210,708/x
  3. Step 3: Cross multiply
    138,528x = 210,708 × 210,708
  4. Step 4: Simplify right side
    138,528x = 44,397,861,264
  5. Step 5: Solve for x
    x = 44,397,861,264/138,528
  6. Step 6: Final answer
    x = 320,497.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.