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Finding the Third Proportional to 42,312 and 91,911

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Solution

The third proportional to 42,312 and 91,911 is: 199,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,312 : 91,911 = 91,911 : x
  2. Step 2: Convert to fraction form
    42,312/91,911 = 91,911/x
  3. Step 3: Cross multiply
    42,312x = 91,911 × 91,911
  4. Step 4: Simplify right side
    42,312x = 8,447,631,921
  5. Step 5: Solve for x
    x = 8,447,631,921/42,312
  6. Step 6: Final answer
    x = 199,650.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.