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Finding the Third Proportional to 420.25 and 652.31

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Solution

The third proportional to 420.25 and 652.31 is: 1,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 652.31 = 652.31 : x
  2. Step 2: Convert to fraction form
    420.25/652.31 = 652.31/x
  3. Step 3: Cross multiply
    420.25x = 652.31 × 652.31
  4. Step 4: Simplify right side
    420.25x = 425,511.60
  5. Step 5: Solve for x
    x = 425,511.60/420.25
  6. Step 6: Final answer
    x = 1,012.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.