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Finding the Third Proportional to 420.94 and 601.88

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Solution

The third proportional to 420.94 and 601.88 is: 860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 601.88 = 601.88 : x
  2. Step 2: Convert to fraction form
    420.94/601.88 = 601.88/x
  3. Step 3: Cross multiply
    420.94x = 601.88 × 601.88
  4. Step 4: Simplify right side
    420.94x = 362,253.52
  5. Step 5: Solve for x
    x = 362,253.52/420.94
  6. Step 6: Final answer
    x = 860.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.