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Finding the Third Proportional to 642.63 and 992.88

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Solution

The third proportional to 642.63 and 992.88 is: 1,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 992.88 = 992.88 : x
  2. Step 2: Convert to fraction form
    642.63/992.88 = 992.88/x
  3. Step 3: Cross multiply
    642.63x = 992.88 × 992.88
  4. Step 4: Simplify right side
    642.63x = 985,800.77
  5. Step 5: Solve for x
    x = 985,800.77/642.63
  6. Step 6: Final answer
    x = 1,534.02

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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.