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Finding the Third Proportional to 628.88 and 971.88

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Solution

The third proportional to 628.88 and 971.88 is: 1,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 971.88 = 971.88 : x
  2. Step 2: Convert to fraction form
    628.88/971.88 = 971.88/x
  3. Step 3: Cross multiply
    628.88x = 971.88 × 971.88
  4. Step 4: Simplify right side
    628.88x = 944,541.02
  5. Step 5: Solve for x
    x = 944,541.02/628.88
  6. Step 6: Final answer
    x = 1,501.95

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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.