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Finding the Third Proportional to 56,829 and 87,376

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Solution

The third proportional to 56,829 and 87,376 is: 134,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,829 : 87,376 = 87,376 : x
  2. Step 2: Convert to fraction form
    56,829/87,376 = 87,376/x
  3. Step 3: Cross multiply
    56,829x = 87,376 × 87,376
  4. Step 4: Simplify right side
    56,829x = 7,634,565,376
  5. Step 5: Solve for x
    x = 7,634,565,376/56,829
  6. Step 6: Final answer
    x = 134,342.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.