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Finding the Third Proportional to 127,405 and 191,426

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Solution

The third proportional to 127,405 and 191,426 is: 287,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,405 : 191,426 = 191,426 : x
  2. Step 2: Convert to fraction form
    127,405/191,426 = 191,426/x
  3. Step 3: Cross multiply
    127,405x = 191,426 × 191,426
  4. Step 4: Simplify right side
    127,405x = 36,643,913,476
  5. Step 5: Solve for x
    x = 36,643,913,476/127,405
  6. Step 6: Final answer
    x = 287,617.55

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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.