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Finding the Third Proportional to 89,943 and 138,971

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Solution

The third proportional to 89,943 and 138,971 is: 214,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,943 : 138,971 = 138,971 : x
  2. Step 2: Convert to fraction form
    89,943/138,971 = 138,971/x
  3. Step 3: Cross multiply
    89,943x = 138,971 × 138,971
  4. Step 4: Simplify right side
    89,943x = 19,312,938,841
  5. Step 5: Solve for x
    x = 19,312,938,841/89,943
  6. Step 6: Final answer
    x = 214,724.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.