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Finding the Third Proportional to 56,880 and 90,864

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Solution

The third proportional to 56,880 and 90,864 is: 145,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,880 : 90,864 = 90,864 : x
  2. Step 2: Convert to fraction form
    56,880/90,864 = 90,864/x
  3. Step 3: Cross multiply
    56,880x = 90,864 × 90,864
  4. Step 4: Simplify right side
    56,880x = 8,256,266,496
  5. Step 5: Solve for x
    x = 8,256,266,496/56,880
  6. Step 6: Final answer
    x = 145,152.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.