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Finding the Third Proportional to 115,461 and 240,156

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Solution

The third proportional to 115,461 and 240,156 is: 499,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,461 : 240,156 = 240,156 : x
  2. Step 2: Convert to fraction form
    115,461/240,156 = 240,156/x
  3. Step 3: Cross multiply
    115,461x = 240,156 × 240,156
  4. Step 4: Simplify right side
    115,461x = 57,674,904,336
  5. Step 5: Solve for x
    x = 57,674,904,336/115,461
  6. Step 6: Final answer
    x = 499,518.49

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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.