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Finding the Third Proportional to 898.59 and 1,214.05

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Solution

The third proportional to 898.59 and 1,214.05 is: 1,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,214.05 = 1,214.05 : x
  2. Step 2: Convert to fraction form
    898.59/1,214.05 = 1,214.05/x
  3. Step 3: Cross multiply
    898.59x = 1,214.05 × 1,214.05
  4. Step 4: Simplify right side
    898.59x = 1,473,919.30
  5. Step 5: Solve for x
    x = 1,473,919.30/898.59
  6. Step 6: Final answer
    x = 1,640.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.