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Finding the Third Proportional to 616.64 and 931.36

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Solution

The third proportional to 616.64 and 931.36 is: 1,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 931.36 = 931.36 : x
  2. Step 2: Convert to fraction form
    616.64/931.36 = 931.36/x
  3. Step 3: Cross multiply
    616.64x = 931.36 × 931.36
  4. Step 4: Simplify right side
    616.64x = 867,430.29
  5. Step 5: Solve for x
    x = 867,430.29/616.64
  6. Step 6: Final answer
    x = 1,406.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.