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Finding the Third Proportional to 112,819 and 240,649

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Solution

The third proportional to 112,819 and 240,649 is: 513,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,819 : 240,649 = 240,649 : x
  2. Step 2: Convert to fraction form
    112,819/240,649 = 240,649/x
  3. Step 3: Cross multiply
    112,819x = 240,649 × 240,649
  4. Step 4: Simplify right side
    112,819x = 57,911,941,201
  5. Step 5: Solve for x
    x = 57,911,941,201/112,819
  6. Step 6: Final answer
    x = 513,317.27

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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.