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Finding the Third Proportional to 43,870 and 70,650

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Solution

The third proportional to 43,870 and 70,650 is: 113,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,870 : 70,650 = 70,650 : x
  2. Step 2: Convert to fraction form
    43,870/70,650 = 70,650/x
  3. Step 3: Cross multiply
    43,870x = 70,650 × 70,650
  4. Step 4: Simplify right side
    43,870x = 4,991,422,500
  5. Step 5: Solve for x
    x = 4,991,422,500/43,870
  6. Step 6: Final answer
    x = 113,777.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.