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Finding the Third Proportional to 68,216 and 147,642

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Solution

The third proportional to 68,216 and 147,642 is: 319,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216 : 147,642 = 147,642 : x
  2. Step 2: Convert to fraction form
    68,216/147,642 = 147,642/x
  3. Step 3: Cross multiply
    68,216x = 147,642 × 147,642
  4. Step 4: Simplify right side
    68,216x = 21,798,160,164
  5. Step 5: Solve for x
    x = 21,798,160,164/68,216
  6. Step 6: Final answer
    x = 319,546.15

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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.