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Finding the Third Proportional to 647.88 and 971.94

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Solution

The third proportional to 647.88 and 971.94 is: 1,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.88 : 971.94 = 971.94 : x
  2. Step 2: Convert to fraction form
    647.88/971.94 = 971.94/x
  3. Step 3: Cross multiply
    647.88x = 971.94 × 971.94
  4. Step 4: Simplify right side
    647.88x = 944,662.50
  5. Step 5: Solve for x
    x = 944,662.50/647.88
  6. Step 6: Final answer
    x = 1,458.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.