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Finding the Third Proportional to 115,280 and 180,448

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Solution

The third proportional to 115,280 and 180,448 is: 282,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,280 : 180,448 = 180,448 : x
  2. Step 2: Convert to fraction form
    115,280/180,448 = 180,448/x
  3. Step 3: Cross multiply
    115,280x = 180,448 × 180,448
  4. Step 4: Simplify right side
    115,280x = 32,561,480,704
  5. Step 5: Solve for x
    x = 32,561,480,704/115,280
  6. Step 6: Final answer
    x = 282,455.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.