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Finding the Third Proportional to 84,521 and 186,511

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Solution

The third proportional to 84,521 and 186,511 is: 411,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,521 : 186,511 = 186,511 : x
  2. Step 2: Convert to fraction form
    84,521/186,511 = 186,511/x
  3. Step 3: Cross multiply
    84,521x = 186,511 × 186,511
  4. Step 4: Simplify right side
    84,521x = 34,786,353,121
  5. Step 5: Solve for x
    x = 34,786,353,121/84,521
  6. Step 6: Final answer
    x = 411,570.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.