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Finding the Third Proportional to 420.25 and 902.50

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Solution

The third proportional to 420.25 and 902.50 is: 1,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 902.50 = 902.50 : x
  2. Step 2: Convert to fraction form
    420.25/902.50 = 902.50/x
  3. Step 3: Cross multiply
    420.25x = 902.50 × 902.50
  4. Step 4: Simplify right side
    420.25x = 814,506.25
  5. Step 5: Solve for x
    x = 814,506.25/420.25
  6. Step 6: Final answer
    x = 1,938.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.