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Finding the Third Proportional to 787.50 and 1,049.63

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Solution

The third proportional to 787.50 and 1,049.63 is: 1,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,049.63 = 1,049.63 : x
  2. Step 2: Convert to fraction form
    787.50/1,049.63 = 1,049.63/x
  3. Step 3: Cross multiply
    787.50x = 1,049.63 × 1,049.63
  4. Step 4: Simplify right side
    787.50x = 1,101,712.64
  5. Step 5: Solve for x
    x = 1,101,712.64/787.50
  6. Step 6: Final answer
    x = 1,399.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.