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Finding the Third Proportional to 56,315 and 121,355

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Solution

The third proportional to 56,315 and 121,355 is: 261,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,315 : 121,355 = 121,355 : x
  2. Step 2: Convert to fraction form
    56,315/121,355 = 121,355/x
  3. Step 3: Cross multiply
    56,315x = 121,355 × 121,355
  4. Step 4: Simplify right side
    56,315x = 14,727,036,025
  5. Step 5: Solve for x
    x = 14,727,036,025/56,315
  6. Step 6: Final answer
    x = 261,511.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.