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Finding the Third Proportional to 68,918 and 148,348

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Solution

The third proportional to 68,918 and 148,348 is: 319,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,918 : 148,348 = 148,348 : x
  2. Step 2: Convert to fraction form
    68,918/148,348 = 148,348/x
  3. Step 3: Cross multiply
    68,918x = 148,348 × 148,348
  4. Step 4: Simplify right side
    68,918x = 22,007,129,104
  5. Step 5: Solve for x
    x = 22,007,129,104/68,918
  6. Step 6: Final answer
    x = 319,323.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.