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Finding the Third Proportional to 115,905 and 240,690

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Solution

The third proportional to 115,905 and 240,690 is: 499,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,905 : 240,690 = 240,690 : x
  2. Step 2: Convert to fraction form
    115,905/240,690 = 240,690/x
  3. Step 3: Cross multiply
    115,905x = 240,690 × 240,690
  4. Step 4: Simplify right side
    115,905x = 57,931,676,100
  5. Step 5: Solve for x
    x = 57,931,676,100/115,905
  6. Step 6: Final answer
    x = 499,820.34

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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.