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Finding the Third Proportional to 85,374 and 128,336.06

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Solution

The third proportional to 85,374 and 128,336.06 is: 192,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374 : 128,336.06 = 128,336.06 : x
  2. Step 2: Convert to fraction form
    85,374/128,336.06 = 128,336.06/x
  3. Step 3: Cross multiply
    85,374x = 128,336.06 × 128,336.06
  4. Step 4: Simplify right side
    85,374x = 16,470,144,938.00
  5. Step 5: Solve for x
    x = 16,470,144,938.00/85,374
  6. Step 6: Final answer
    x = 192,917.57

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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.