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Finding the Third Proportional to 5,746.78 and 9,711.56

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Solution

The third proportional to 5,746.78 and 9,711.56 is: 16,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.78 : 9,711.56 = 9,711.56 : x
  2. Step 2: Convert to fraction form
    5,746.78/9,711.56 = 9,711.56/x
  3. Step 3: Cross multiply
    5,746.78x = 9,711.56 × 9,711.56
  4. Step 4: Simplify right side
    5,746.78x = 94,314,446.19
  5. Step 5: Solve for x
    x = 94,314,446.19/5,746.78
  6. Step 6: Final answer
    x = 16,411.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.