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Finding the Third Proportional to 115,192 and 180,312

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Solution

The third proportional to 115,192 and 180,312 is: 282,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,192 : 180,312 = 180,312 : x
  2. Step 2: Convert to fraction form
    115,192/180,312 = 180,312/x
  3. Step 3: Cross multiply
    115,192x = 180,312 × 180,312
  4. Step 4: Simplify right side
    115,192x = 32,512,417,344
  5. Step 5: Solve for x
    x = 32,512,417,344/115,192
  6. Step 6: Final answer
    x = 282,245.45

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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.