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Finding the Third Proportional to 309,932 and 454,278.50

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Solution

The third proportional to 309,932 and 454,278.50 is: 665,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,932 : 454,278.50 = 454,278.50 : x
  2. Step 2: Convert to fraction form
    309,932/454,278.50 = 454,278.50/x
  3. Step 3: Cross multiply
    309,932x = 454,278.50 × 454,278.50
  4. Step 4: Simplify right side
    309,932x = 206,368,955,562.25
  5. Step 5: Solve for x
    x = 206,368,955,562.25/309,932
  6. Step 6: Final answer
    x = 665,852.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.