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Finding the Third Proportional to 359.25 and 420.84

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Solution

The third proportional to 359.25 and 420.84 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.25 : 420.84 = 420.84 : x
  2. Step 2: Convert to fraction form
    359.25/420.84 = 420.84/x
  3. Step 3: Cross multiply
    359.25x = 420.84 × 420.84
  4. Step 4: Simplify right side
    359.25x = 177,109.46
  5. Step 5: Solve for x
    x = 177,109.46/359.25
  6. Step 6: Final answer
    x = 493.00

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.