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Finding the Third Proportional to 279,718.31 and 610,671.66

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Solution

The third proportional to 279,718.31 and 610,671.66 is: 1,333,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,718.31 : 610,671.66 = 610,671.66 : x
  2. Step 2: Convert to fraction form
    279,718.31/610,671.66 = 610,671.66/x
  3. Step 3: Cross multiply
    279,718.31x = 610,671.66 × 610,671.66
  4. Step 4: Simplify right side
    279,718.31x = 372,919,871,747.12
  5. Step 5: Solve for x
    x = 372,919,871,747.12/279,718.31
  6. Step 6: Final answer
    x = 1,333,197.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.