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Finding the Third Proportional to 209,275.31 and 313,095.38

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Solution

The third proportional to 209,275.31 and 313,095.38 is: 468,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,275.31 : 313,095.38 = 313,095.38 : x
  2. Step 2: Convert to fraction form
    209,275.31/313,095.38 = 313,095.38/x
  3. Step 3: Cross multiply
    209,275.31x = 313,095.38 × 313,095.38
  4. Step 4: Simplify right side
    209,275.31x = 98,028,713,846.39
  5. Step 5: Solve for x
    x = 98,028,713,846.39/209,275.31
  6. Step 6: Final answer
    x = 468,419.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.