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Finding the Third Proportional to 56,382 and 87,798

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Solution

The third proportional to 56,382 and 87,798 is: 136,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382 : 87,798 = 87,798 : x
  2. Step 2: Convert to fraction form
    56,382/87,798 = 87,798/x
  3. Step 3: Cross multiply
    56,382x = 87,798 × 87,798
  4. Step 4: Simplify right side
    56,382x = 7,708,488,804
  5. Step 5: Solve for x
    x = 7,708,488,804/56,382
  6. Step 6: Final answer
    x = 136,718.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.