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Finding the Third Proportional to 91,878 and 138,537

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Solution

The third proportional to 91,878 and 138,537 is: 208,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,878 : 138,537 = 138,537 : x
  2. Step 2: Convert to fraction form
    91,878/138,537 = 138,537/x
  3. Step 3: Cross multiply
    91,878x = 138,537 × 138,537
  4. Step 4: Simplify right side
    91,878x = 19,192,500,369
  5. Step 5: Solve for x
    x = 19,192,500,369/91,878
  6. Step 6: Final answer
    x = 208,891.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.