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Finding the Third Proportional to 624.25 and 913.81

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Solution

The third proportional to 624.25 and 913.81 is: 1,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 913.81 = 913.81 : x
  2. Step 2: Convert to fraction form
    624.25/913.81 = 913.81/x
  3. Step 3: Cross multiply
    624.25x = 913.81 × 913.81
  4. Step 4: Simplify right side
    624.25x = 835,053.29
  5. Step 5: Solve for x
    x = 835,053.29/624.25
  6. Step 6: Final answer
    x = 1,337.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.