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Finding the Third Proportional to 48,390 and 72,585

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Solution

The third proportional to 48,390 and 72,585 is: 108,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,390 : 72,585 = 72,585 : x
  2. Step 2: Convert to fraction form
    48,390/72,585 = 72,585/x
  3. Step 3: Cross multiply
    48,390x = 72,585 × 72,585
  4. Step 4: Simplify right side
    48,390x = 5,268,582,225
  5. Step 5: Solve for x
    x = 5,268,582,225/48,390
  6. Step 6: Final answer
    x = 108,877.50

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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.