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Finding the Third Proportional to 898.17 and 1,387.41

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Solution

The third proportional to 898.17 and 1,387.41 is: 2,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.17 : 1,387.41 = 1,387.41 : x
  2. Step 2: Convert to fraction form
    898.17/1,387.41 = 1,387.41/x
  3. Step 3: Cross multiply
    898.17x = 1,387.41 × 1,387.41
  4. Step 4: Simplify right side
    898.17x = 1,924,896.10
  5. Step 5: Solve for x
    x = 1,924,896.10/898.17
  6. Step 6: Final answer
    x = 2,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.