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Finding the Third Proportional to 691.03 and 1,602.28

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Solution

The third proportional to 691.03 and 1,602.28 is: 3,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.03 : 1,602.28 = 1,602.28 : x
  2. Step 2: Convert to fraction form
    691.03/1,602.28 = 1,602.28/x
  3. Step 3: Cross multiply
    691.03x = 1,602.28 × 1,602.28
  4. Step 4: Simplify right side
    691.03x = 2,567,305.20
  5. Step 5: Solve for x
    x = 2,567,305.20/691.03
  6. Step 6: Final answer
    x = 3,715.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.