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Finding the Third Proportional to 91,205 and 128,347

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Solution

The third proportional to 91,205 and 128,347 is: 180,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,205 : 128,347 = 128,347 : x
  2. Step 2: Convert to fraction form
    91,205/128,347 = 128,347/x
  3. Step 3: Cross multiply
    91,205x = 128,347 × 128,347
  4. Step 4: Simplify right side
    91,205x = 16,472,952,409
  5. Step 5: Solve for x
    x = 16,472,952,409/91,205
  6. Step 6: Final answer
    x = 180,614.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.