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Finding the Third Proportional to 68,860 and 145,988

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Solution

The third proportional to 68,860 and 145,988 is: 309,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,860 : 145,988 = 145,988 : x
  2. Step 2: Convert to fraction form
    68,860/145,988 = 145,988/x
  3. Step 3: Cross multiply
    68,860x = 145,988 × 145,988
  4. Step 4: Simplify right side
    68,860x = 21,312,496,144
  5. Step 5: Solve for x
    x = 21,312,496,144/68,860
  6. Step 6: Final answer
    x = 309,504.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.