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Finding the Third Proportional to 56,389 and 84,409

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Solution

The third proportional to 56,389 and 84,409 is: 126,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,389 : 84,409 = 84,409 : x
  2. Step 2: Convert to fraction form
    56,389/84,409 = 84,409/x
  3. Step 3: Cross multiply
    56,389x = 84,409 × 84,409
  4. Step 4: Simplify right side
    56,389x = 7,124,879,281
  5. Step 5: Solve for x
    x = 7,124,879,281/56,389
  6. Step 6: Final answer
    x = 126,352.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.