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Finding the Third Proportional to 642.94 and 1,009.97

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Solution

The third proportional to 642.94 and 1,009.97 is: 1,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 1,009.97 = 1,009.97 : x
  2. Step 2: Convert to fraction form
    642.94/1,009.97 = 1,009.97/x
  3. Step 3: Cross multiply
    642.94x = 1,009.97 × 1,009.97
  4. Step 4: Simplify right side
    642.94x = 1,020,036.88
  5. Step 5: Solve for x
    x = 1,020,036.88/642.94
  6. Step 6: Final answer
    x = 1,586.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.