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Finding the Third Proportional to 989.50 and 1,541.50

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Solution

The third proportional to 989.50 and 1,541.50 is: 2,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.50 : 1,541.50 = 1,541.50 : x
  2. Step 2: Convert to fraction form
    989.50/1,541.50 = 1,541.50/x
  3. Step 3: Cross multiply
    989.50x = 1,541.50 × 1,541.50
  4. Step 4: Simplify right side
    989.50x = 2,376,222.25
  5. Step 5: Solve for x
    x = 2,376,222.25/989.50
  6. Step 6: Final answer
    x = 2,401.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.