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Finding the Third Proportional to 56,209 and 84,685

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Solution

The third proportional to 56,209 and 84,685 is: 127,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,209 : 84,685 = 84,685 : x
  2. Step 2: Convert to fraction form
    56,209/84,685 = 84,685/x
  3. Step 3: Cross multiply
    56,209x = 84,685 × 84,685
  4. Step 4: Simplify right side
    56,209x = 7,171,549,225
  5. Step 5: Solve for x
    x = 7,171,549,225/56,209
  6. Step 6: Final answer
    x = 127,587.21

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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.