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Finding the Third Proportional to 189,509 and 412,426

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Solution

The third proportional to 189,509 and 412,426 is: 897,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,509 : 412,426 = 412,426 : x
  2. Step 2: Convert to fraction form
    189,509/412,426 = 412,426/x
  3. Step 3: Cross multiply
    189,509x = 412,426 × 412,426
  4. Step 4: Simplify right side
    189,509x = 170,095,205,476
  5. Step 5: Solve for x
    x = 170,095,205,476/189,509
  6. Step 6: Final answer
    x = 897,557.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.