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Finding the Third Proportional to 112,290 and 240,137

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Solution

The third proportional to 112,290 and 240,137 is: 513,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,290 : 240,137 = 240,137 : x
  2. Step 2: Convert to fraction form
    112,290/240,137 = 240,137/x
  3. Step 3: Cross multiply
    112,290x = 240,137 × 240,137
  4. Step 4: Simplify right side
    112,290x = 57,665,778,769
  5. Step 5: Solve for x
    x = 57,665,778,769/112,290
  6. Step 6: Final answer
    x = 513,543.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.