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Finding the Third Proportional to 85,052 and 128,535

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Solution

The third proportional to 85,052 and 128,535 is: 194,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,052 : 128,535 = 128,535 : x
  2. Step 2: Convert to fraction form
    85,052/128,535 = 128,535/x
  3. Step 3: Cross multiply
    85,052x = 128,535 × 128,535
  4. Step 4: Simplify right side
    85,052x = 16,521,246,225
  5. Step 5: Solve for x
    x = 16,521,246,225/85,052
  6. Step 6: Final answer
    x = 194,248.77

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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.