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Finding the Third Proportional to 68,598 and 148,131

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Solution

The third proportional to 68,598 and 148,131 is: 319,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,598 : 148,131 = 148,131 : x
  2. Step 2: Convert to fraction form
    68,598/148,131 = 148,131/x
  3. Step 3: Cross multiply
    68,598x = 148,131 × 148,131
  4. Step 4: Simplify right side
    68,598x = 21,942,793,161
  5. Step 5: Solve for x
    x = 21,942,793,161/68,598
  6. Step 6: Final answer
    x = 319,875.12

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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.