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Finding the Third Proportional to 68,276 and 148,535

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Solution

The third proportional to 68,276 and 148,535 is: 323,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,276 : 148,535 = 148,535 : x
  2. Step 2: Convert to fraction form
    68,276/148,535 = 148,535/x
  3. Step 3: Cross multiply
    68,276x = 148,535 × 148,535
  4. Step 4: Simplify right side
    68,276x = 22,062,646,225
  5. Step 5: Solve for x
    x = 22,062,646,225/68,276
  6. Step 6: Final answer
    x = 323,139.12

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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.