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Finding the Third Proportional to 110,787 and 243,726

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Solution

The third proportional to 110,787 and 243,726 is: 536,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,787 : 243,726 = 243,726 : x
  2. Step 2: Convert to fraction form
    110,787/243,726 = 243,726/x
  3. Step 3: Cross multiply
    110,787x = 243,726 × 243,726
  4. Step 4: Simplify right side
    110,787x = 59,402,363,076
  5. Step 5: Solve for x
    x = 59,402,363,076/110,787
  6. Step 6: Final answer
    x = 536,185.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.