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Finding the Third Proportional to 68,478 and 147,890

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Solution

The third proportional to 68,478 and 147,890 is: 319,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,478 : 147,890 = 147,890 : x
  2. Step 2: Convert to fraction form
    68,478/147,890 = 147,890/x
  3. Step 3: Cross multiply
    68,478x = 147,890 × 147,890
  4. Step 4: Simplify right side
    68,478x = 21,871,452,100
  5. Step 5: Solve for x
    x = 21,871,452,100/68,478
  6. Step 6: Final answer
    x = 319,393.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.