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Finding the Third Proportional to 432.13 and 916.63

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Solution

The third proportional to 432.13 and 916.63 is: 1,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.13 : 916.63 = 916.63 : x
  2. Step 2: Convert to fraction form
    432.13/916.63 = 916.63/x
  3. Step 3: Cross multiply
    432.13x = 916.63 × 916.63
  4. Step 4: Simplify right side
    432.13x = 840,201.39
  5. Step 5: Solve for x
    x = 840,201.39/432.13
  6. Step 6: Final answer
    x = 1,944.35

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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.