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Finding the Third Proportional to 142,676 and 211,960

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Solution

The third proportional to 142,676 and 211,960 is: 314,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,676 : 211,960 = 211,960 : x
  2. Step 2: Convert to fraction form
    142,676/211,960 = 211,960/x
  3. Step 3: Cross multiply
    142,676x = 211,960 × 211,960
  4. Step 4: Simplify right side
    142,676x = 44,927,041,600
  5. Step 5: Solve for x
    x = 44,927,041,600/142,676
  6. Step 6: Final answer
    x = 314,888.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.