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Finding the Third Proportional to 616.13 and 920.81

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Solution

The third proportional to 616.13 and 920.81 is: 1,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.13 : 920.81 = 920.81 : x
  2. Step 2: Convert to fraction form
    616.13/920.81 = 920.81/x
  3. Step 3: Cross multiply
    616.13x = 920.81 × 920.81
  4. Step 4: Simplify right side
    616.13x = 847,895.66
  5. Step 5: Solve for x
    x = 847,895.66/616.13
  6. Step 6: Final answer
    x = 1,376.17

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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.