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Finding the Third Proportional to 68,250 and 147,678

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Solution

The third proportional to 68,250 and 147,678 is: 319,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,250 : 147,678 = 147,678 : x
  2. Step 2: Convert to fraction form
    68,250/147,678 = 147,678/x
  3. Step 3: Cross multiply
    68,250x = 147,678 × 147,678
  4. Step 4: Simplify right side
    68,250x = 21,808,791,684
  5. Step 5: Solve for x
    x = 21,808,791,684/68,250
  6. Step 6: Final answer
    x = 319,542.74

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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.