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Finding the Third Proportional to 48,724 and 72,889

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Solution

The third proportional to 48,724 and 72,889 is: 109,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,724 : 72,889 = 72,889 : x
  2. Step 2: Convert to fraction form
    48,724/72,889 = 72,889/x
  3. Step 3: Cross multiply
    48,724x = 72,889 × 72,889
  4. Step 4: Simplify right side
    48,724x = 5,312,806,321
  5. Step 5: Solve for x
    x = 5,312,806,321/48,724
  6. Step 6: Final answer
    x = 109,038.80

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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.