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Finding the Third Proportional to 968.50 and 1,877

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Solution

The third proportional to 968.50 and 1,877 is: 3,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.50 : 1,877 = 1,877 : x
  2. Step 2: Convert to fraction form
    968.50/1,877 = 1,877/x
  3. Step 3: Cross multiply
    968.50x = 1,877 × 1,877
  4. Step 4: Simplify right side
    968.50x = 3,523,129
  5. Step 5: Solve for x
    x = 3,523,129/968.50
  6. Step 6: Final answer
    x = 3,637.72

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.