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Finding the Third Proportional to 48,440 and 72,709

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Solution

The third proportional to 48,440 and 72,709 is: 109,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,440 : 72,709 = 72,709 : x
  2. Step 2: Convert to fraction form
    48,440/72,709 = 72,709/x
  3. Step 3: Cross multiply
    48,440x = 72,709 × 72,709
  4. Step 4: Simplify right side
    48,440x = 5,286,598,681
  5. Step 5: Solve for x
    x = 5,286,598,681/48,440
  6. Step 6: Final answer
    x = 109,137.05

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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.