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Finding the Third Proportional to 429.28 and 647.13

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Solution

The third proportional to 429.28 and 647.13 is: 975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 647.13 = 647.13 : x
  2. Step 2: Convert to fraction form
    429.28/647.13 = 647.13/x
  3. Step 3: Cross multiply
    429.28x = 647.13 × 647.13
  4. Step 4: Simplify right side
    429.28x = 418,777.09
  5. Step 5: Solve for x
    x = 418,777.09/429.28
  6. Step 6: Final answer
    x = 975.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.