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Finding the Third Proportional to 48,643 and 72,971

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Solution

The third proportional to 48,643 and 72,971 is: 109,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643 : 72,971 = 72,971 : x
  2. Step 2: Convert to fraction form
    48,643/72,971 = 72,971/x
  3. Step 3: Cross multiply
    48,643x = 72,971 × 72,971
  4. Step 4: Simplify right side
    48,643x = 5,324,766,841
  5. Step 5: Solve for x
    x = 5,324,766,841/48,643
  6. Step 6: Final answer
    x = 109,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.