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Finding the Third Proportional to 420.71 and 602.23

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Solution

The third proportional to 420.71 and 602.23 is: 862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.71 : 602.23 = 602.23 : x
  2. Step 2: Convert to fraction form
    420.71/602.23 = 602.23/x
  3. Step 3: Cross multiply
    420.71x = 602.23 × 602.23
  4. Step 4: Simplify right side
    420.71x = 362,676.83
  5. Step 5: Solve for x
    x = 362,676.83/420.71
  6. Step 6: Final answer
    x = 862.05

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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.