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Finding the Third Proportional to 671.78 and 1,038.06

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Solution

The third proportional to 671.78 and 1,038.06 is: 1,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.78 : 1,038.06 = 1,038.06 : x
  2. Step 2: Convert to fraction form
    671.78/1,038.06 = 1,038.06/x
  3. Step 3: Cross multiply
    671.78x = 1,038.06 × 1,038.06
  4. Step 4: Simplify right side
    671.78x = 1,077,573.75
  5. Step 5: Solve for x
    x = 1,077,573.75/671.78
  6. Step 6: Final answer
    x = 1,604.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.