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Finding the Third Proportional to 68,468 and 148,120

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Solution

The third proportional to 68,468 and 148,120 is: 320,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,468 : 148,120 = 148,120 : x
  2. Step 2: Convert to fraction form
    68,468/148,120 = 148,120/x
  3. Step 3: Cross multiply
    68,468x = 148,120 × 148,120
  4. Step 4: Simplify right side
    68,468x = 21,939,534,400
  5. Step 5: Solve for x
    x = 21,939,534,400/68,468
  6. Step 6: Final answer
    x = 320,434.87

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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.