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Finding the Third Proportional to 88,704 and 191,476

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Solution

The third proportional to 88,704 and 191,476 is: 413,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,704 : 191,476 = 191,476 : x
  2. Step 2: Convert to fraction form
    88,704/191,476 = 191,476/x
  3. Step 3: Cross multiply
    88,704x = 191,476 × 191,476
  4. Step 4: Simplify right side
    88,704x = 36,663,058,576
  5. Step 5: Solve for x
    x = 36,663,058,576/88,704
  6. Step 6: Final answer
    x = 413,319.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.