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Finding the Third Proportional to 432.28 and 917.16

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Solution

The third proportional to 432.28 and 917.16 is: 1,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 917.16 = 917.16 : x
  2. Step 2: Convert to fraction form
    432.28/917.16 = 917.16/x
  3. Step 3: Cross multiply
    432.28x = 917.16 × 917.16
  4. Step 4: Simplify right side
    432.28x = 841,175.59
  5. Step 5: Solve for x
    x = 841,175.59/432.28
  6. Step 6: Final answer
    x = 1,945.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.