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Finding the Third Proportional to 279,718.31 and 421,903.69

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Solution

The third proportional to 279,718.31 and 421,903.69 is: 636,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,718.31 : 421,903.69 = 421,903.69 : x
  2. Step 2: Convert to fraction form
    279,718.31/421,903.69 = 421,903.69/x
  3. Step 3: Cross multiply
    279,718.31x = 421,903.69 × 421,903.69
  4. Step 4: Simplify right side
    279,718.31x = 178,002,721,526.10
  5. Step 5: Solve for x
    x = 178,002,721,526.10/279,718.31
  6. Step 6: Final answer
    x = 636,364.20

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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.