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Finding the Third Proportional to 115,707 and 240,630

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Solution

The third proportional to 115,707 and 240,630 is: 500,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,707 : 240,630 = 240,630 : x
  2. Step 2: Convert to fraction form
    115,707/240,630 = 240,630/x
  3. Step 3: Cross multiply
    115,707x = 240,630 × 240,630
  4. Step 4: Simplify right side
    115,707x = 57,902,796,900
  5. Step 5: Solve for x
    x = 57,902,796,900/115,707
  6. Step 6: Final answer
    x = 500,426.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.