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Finding the Third Proportional to 56,212 and 84,689

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Solution

The third proportional to 56,212 and 84,689 is: 127,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,212 : 84,689 = 84,689 : x
  2. Step 2: Convert to fraction form
    56,212/84,689 = 84,689/x
  3. Step 3: Cross multiply
    56,212x = 84,689 × 84,689
  4. Step 4: Simplify right side
    56,212x = 7,172,226,721
  5. Step 5: Solve for x
    x = 7,172,226,721/56,212
  6. Step 6: Final answer
    x = 127,592.45

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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.