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Finding the Third Proportional to 85,050 and 128,531.81

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Solution

The third proportional to 85,050 and 128,531.81 is: 194,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,050 : 128,531.81 = 128,531.81 : x
  2. Step 2: Convert to fraction form
    85,050/128,531.81 = 128,531.81/x
  3. Step 3: Cross multiply
    85,050x = 128,531.81 × 128,531.81
  4. Step 4: Simplify right side
    85,050x = 16,520,426,824.54
  5. Step 5: Solve for x
    x = 16,520,426,824.54/85,050
  6. Step 6: Final answer
    x = 194,243.70

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1.5x scale

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.