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Finding the Third Proportional to 282.88 and 420

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Solution

The third proportional to 282.88 and 420 is: 623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 420 = 420 : x
  2. Step 2: Convert to fraction form
    282.88/420 = 420/x
  3. Step 3: Cross multiply
    282.88x = 420 × 420
  4. Step 4: Simplify right side
    282.88x = 176,400
  5. Step 5: Solve for x
    x = 176,400/282.88
  6. Step 6: Final answer
    x = 623.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.