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Finding the Third Proportional to 295.60 and 643.02

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Solution

The third proportional to 295.60 and 643.02 is: 1,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.60 : 643.02 = 643.02 : x
  2. Step 2: Convert to fraction form
    295.60/643.02 = 643.02/x
  3. Step 3: Cross multiply
    295.60x = 643.02 × 643.02
  4. Step 4: Simplify right side
    295.60x = 413,470.35
  5. Step 5: Solve for x
    x = 413,470.35/295.60
  6. Step 6: Final answer
    x = 1,398.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.