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Finding the Third Proportional to 217,640.67 and 328,870.13

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Solution

The third proportional to 217,640.67 and 328,870.13 is: 496,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,640.67 : 328,870.13 = 328,870.13 : x
  2. Step 2: Convert to fraction form
    217,640.67/328,870.13 = 328,870.13/x
  3. Step 3: Cross multiply
    217,640.67x = 328,870.13 × 328,870.13
  4. Step 4: Simplify right side
    217,640.67x = 108,155,559,117.52
  5. Step 5: Solve for x
    x = 108,155,559,117.52/217,640.67
  6. Step 6: Final answer
    x = 496,945.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.