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Finding the Third Proportional to 109,506 and 143,787

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Solution

The third proportional to 109,506 and 143,787 is: 188,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,506 : 143,787 = 143,787 : x
  2. Step 2: Convert to fraction form
    109,506/143,787 = 143,787/x
  3. Step 3: Cross multiply
    109,506x = 143,787 × 143,787
  4. Step 4: Simplify right side
    109,506x = 20,674,701,369
  5. Step 5: Solve for x
    x = 20,674,701,369/109,506
  6. Step 6: Final answer
    x = 188,799.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.