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Finding the Third Proportional to 646.31 and 1,008.28

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Solution

The third proportional to 646.31 and 1,008.28 is: 1,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.31 : 1,008.28 = 1,008.28 : x
  2. Step 2: Convert to fraction form
    646.31/1,008.28 = 1,008.28/x
  3. Step 3: Cross multiply
    646.31x = 1,008.28 × 1,008.28
  4. Step 4: Simplify right side
    646.31x = 1,016,631.08
  5. Step 5: Solve for x
    x = 1,016,631.08/646.31
  6. Step 6: Final answer
    x = 1,572.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.