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Finding the Third Proportional to 130,488 and 287,952

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Solution

The third proportional to 130,488 and 287,952 is: 635,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,488 : 287,952 = 287,952 : x
  2. Step 2: Convert to fraction form
    130,488/287,952 = 287,952/x
  3. Step 3: Cross multiply
    130,488x = 287,952 × 287,952
  4. Step 4: Simplify right side
    130,488x = 82,916,354,304
  5. Step 5: Solve for x
    x = 82,916,354,304/130,488
  6. Step 6: Final answer
    x = 635,432.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.