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Finding the Third Proportional to 420.25 and 912.25

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Solution

The third proportional to 420.25 and 912.25 is: 1,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 912.25 = 912.25 : x
  2. Step 2: Convert to fraction form
    420.25/912.25 = 912.25/x
  3. Step 3: Cross multiply
    420.25x = 912.25 × 912.25
  4. Step 4: Simplify right side
    420.25x = 832,200.06
  5. Step 5: Solve for x
    x = 832,200.06/420.25
  6. Step 6: Final answer
    x = 1,980.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.