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Finding the Third Proportional to 420.25 and 918.50

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Solution

The third proportional to 420.25 and 918.50 is: 2,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 918.50 = 918.50 : x
  2. Step 2: Convert to fraction form
    420.25/918.50 = 918.50/x
  3. Step 3: Cross multiply
    420.25x = 918.50 × 918.50
  4. Step 4: Simplify right side
    420.25x = 843,642.25
  5. Step 5: Solve for x
    x = 843,642.25/420.25
  6. Step 6: Final answer
    x = 2,007.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.