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Finding the Third Proportional to 503.13 and 1,098.25

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Solution

The third proportional to 503.13 and 1,098.25 is: 2,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.13 : 1,098.25 = 1,098.25 : x
  2. Step 2: Convert to fraction form
    503.13/1,098.25 = 1,098.25/x
  3. Step 3: Cross multiply
    503.13x = 1,098.25 × 1,098.25
  4. Step 4: Simplify right side
    503.13x = 1,206,153.06
  5. Step 5: Solve for x
    x = 1,206,153.06/503.13
  6. Step 6: Final answer
    x = 2,397.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.