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Finding the Third Proportional to 189,415 and 315,651

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Solution

The third proportional to 189,415 and 315,651 is: 526,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,415 : 315,651 = 315,651 : x
  2. Step 2: Convert to fraction form
    189,415/315,651 = 315,651/x
  3. Step 3: Cross multiply
    189,415x = 315,651 × 315,651
  4. Step 4: Simplify right side
    189,415x = 99,635,553,801
  5. Step 5: Solve for x
    x = 99,635,553,801/189,415
  6. Step 6: Final answer
    x = 526,017.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.