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Finding the Third Proportional to 112,830 and 240,279

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Solution

The third proportional to 112,830 and 240,279 is: 511,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,830 : 240,279 = 240,279 : x
  2. Step 2: Convert to fraction form
    112,830/240,279 = 240,279/x
  3. Step 3: Cross multiply
    112,830x = 240,279 × 240,279
  4. Step 4: Simplify right side
    112,830x = 57,733,997,841
  5. Step 5: Solve for x
    x = 57,733,997,841/112,830
  6. Step 6: Final answer
    x = 511,690.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.