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Finding the Third Proportional to 428.25 and 896.25

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Solution

The third proportional to 428.25 and 896.25 is: 1,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 896.25 = 896.25 : x
  2. Step 2: Convert to fraction form
    428.25/896.25 = 896.25/x
  3. Step 3: Cross multiply
    428.25x = 896.25 × 896.25
  4. Step 4: Simplify right side
    428.25x = 803,264.06
  5. Step 5: Solve for x
    x = 803,264.06/428.25
  6. Step 6: Final answer
    x = 1,875.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.