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Finding the Third Proportional to 311,117.84 and 469,538.65

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Solution

The third proportional to 311,117.84 and 469,538.65 is: 708,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,117.84 : 469,538.65 = 469,538.65 : x
  2. Step 2: Convert to fraction form
    311,117.84/469,538.65 = 469,538.65/x
  3. Step 3: Cross multiply
    311,117.84x = 469,538.65 × 469,538.65
  4. Step 4: Simplify right side
    311,117.84x = 220,466,542,376.51
  5. Step 5: Solve for x
    x = 220,466,542,376.51/311,117.84
  6. Step 6: Final answer
    x = 708,627.14

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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.