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Finding the Third Proportional to 207,204.90 and 309,529.11

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Solution

The third proportional to 207,204.90 and 309,529.11 is: 462,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,204.90 : 309,529.11 = 309,529.11 : x
  2. Step 2: Convert to fraction form
    207,204.90/309,529.11 = 309,529.11/x
  3. Step 3: Cross multiply
    207,204.90x = 309,529.11 × 309,529.11
  4. Step 4: Simplify right side
    207,204.90x = 95,808,270,381.73
  5. Step 5: Solve for x
    x = 95,808,270,381.73/207,204.90
  6. Step 6: Final answer
    x = 462,384.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.