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Finding the Third Proportional to 130,846 and 207,528

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Solution

The third proportional to 130,846 and 207,528 is: 329,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,846 : 207,528 = 207,528 : x
  2. Step 2: Convert to fraction form
    130,846/207,528 = 207,528/x
  3. Step 3: Cross multiply
    130,846x = 207,528 × 207,528
  4. Step 4: Simplify right side
    130,846x = 43,067,870,784
  5. Step 5: Solve for x
    x = 43,067,870,784/130,846
  6. Step 6: Final answer
    x = 329,149.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.