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Finding the Third Proportional to 189,636 and 254,454

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Solution

The third proportional to 189,636 and 254,454 is: 341,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,636 : 254,454 = 254,454 : x
  2. Step 2: Convert to fraction form
    189,636/254,454 = 254,454/x
  3. Step 3: Cross multiply
    189,636x = 254,454 × 254,454
  4. Step 4: Simplify right side
    189,636x = 64,746,838,116
  5. Step 5: Solve for x
    x = 64,746,838,116/189,636
  6. Step 6: Final answer
    x = 341,426.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.