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Finding the Third Proportional to 206,401.50 and 317,864.25

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Solution

The third proportional to 206,401.50 and 317,864.25 is: 489,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.50 : 317,864.25 = 317,864.25 : x
  2. Step 2: Convert to fraction form
    206,401.50/317,864.25 = 317,864.25/x
  3. Step 3: Cross multiply
    206,401.50x = 317,864.25 × 317,864.25
  4. Step 4: Simplify right side
    206,401.50x = 101,037,681,428.06
  5. Step 5: Solve for x
    x = 101,037,681,428.06/206,401.50
  6. Step 6: Final answer
    x = 489,520.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.