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Finding the Third Proportional to 109,285.88 and 173,774.81

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Solution

The third proportional to 109,285.88 and 173,774.81 is: 276,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,285.88 : 173,774.81 = 173,774.81 : x
  2. Step 2: Convert to fraction form
    109,285.88/173,774.81 = 173,774.81/x
  3. Step 3: Cross multiply
    109,285.88x = 173,774.81 × 173,774.81
  4. Step 4: Simplify right side
    109,285.88x = 30,197,685,459.41
  5. Step 5: Solve for x
    x = 30,197,685,459.41/109,285.88
  6. Step 6: Final answer
    x = 276,318.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.