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Finding the Third Proportional to 48,430 and 72,640

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Solution

The third proportional to 48,430 and 72,640 is: 108,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,430 : 72,640 = 72,640 : x
  2. Step 2: Convert to fraction form
    48,430/72,640 = 72,640/x
  3. Step 3: Cross multiply
    48,430x = 72,640 × 72,640
  4. Step 4: Simplify right side
    48,430x = 5,276,569,600
  5. Step 5: Solve for x
    x = 5,276,569,600/48,430
  6. Step 6: Final answer
    x = 108,952.50

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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.