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Finding the Third Proportional to 5,113.13 and 7,643.53

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Solution

The third proportional to 5,113.13 and 7,643.53 is: 11,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 7,643.53 = 7,643.53 : x
  2. Step 2: Convert to fraction form
    5,113.13/7,643.53 = 7,643.53/x
  3. Step 3: Cross multiply
    5,113.13x = 7,643.53 × 7,643.53
  4. Step 4: Simplify right side
    5,113.13x = 58,423,569.97
  5. Step 5: Solve for x
    x = 58,423,569.97/5,113.13
  6. Step 6: Final answer
    x = 11,426.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.