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Finding the Third Proportional to 429.47 and 643.08

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Solution

The third proportional to 429.47 and 643.08 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.47 : 643.08 = 643.08 : x
  2. Step 2: Convert to fraction form
    429.47/643.08 = 643.08/x
  3. Step 3: Cross multiply
    429.47x = 643.08 × 643.08
  4. Step 4: Simplify right side
    429.47x = 413,549.47
  5. Step 5: Solve for x
    x = 413,549.47/429.47
  6. Step 6: Final answer
    x = 962.93

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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.