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Finding the Third Proportional to 64,480 and 91,320

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Solution

The third proportional to 64,480 and 91,320 is: 129,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,480 : 91,320 = 91,320 : x
  2. Step 2: Convert to fraction form
    64,480/91,320 = 91,320/x
  3. Step 3: Cross multiply
    64,480x = 91,320 × 91,320
  4. Step 4: Simplify right side
    64,480x = 8,339,342,400
  5. Step 5: Solve for x
    x = 8,339,342,400/64,480
  6. Step 6: Final answer
    x = 129,332.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.