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Finding the Third Proportional to 81,205 and 119,346

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Solution

The third proportional to 81,205 and 119,346 is: 175,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205 : 119,346 = 119,346 : x
  2. Step 2: Convert to fraction form
    81,205/119,346 = 119,346/x
  3. Step 3: Cross multiply
    81,205x = 119,346 × 119,346
  4. Step 4: Simplify right side
    81,205x = 14,243,467,716
  5. Step 5: Solve for x
    x = 14,243,467,716/81,205
  6. Step 6: Final answer
    x = 175,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.