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Finding the Third Proportional to 112,816 and 240,643

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Solution

The third proportional to 112,816 and 240,643 is: 513,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,816 : 240,643 = 240,643 : x
  2. Step 2: Convert to fraction form
    112,816/240,643 = 240,643/x
  3. Step 3: Cross multiply
    112,816x = 240,643 × 240,643
  4. Step 4: Simplify right side
    112,816x = 57,909,053,449
  5. Step 5: Solve for x
    x = 57,909,053,449/112,816
  6. Step 6: Final answer
    x = 513,305.32

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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.