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Finding the Third Proportional to 128,382 and 191,865

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Solution

The third proportional to 128,382 and 191,865 is: 286,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,382 : 191,865 = 191,865 : x
  2. Step 2: Convert to fraction form
    128,382/191,865 = 191,865/x
  3. Step 3: Cross multiply
    128,382x = 191,865 × 191,865
  4. Step 4: Simplify right side
    128,382x = 36,812,178,225
  5. Step 5: Solve for x
    x = 36,812,178,225/128,382
  6. Step 6: Final answer
    x = 286,739.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.