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Finding the Third Proportional to 85,851 and 186,478

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Solution

The third proportional to 85,851 and 186,478 is: 405,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 186,478 = 186,478 : x
  2. Step 2: Convert to fraction form
    85,851/186,478 = 186,478/x
  3. Step 3: Cross multiply
    85,851x = 186,478 × 186,478
  4. Step 4: Simplify right side
    85,851x = 34,774,044,484
  5. Step 5: Solve for x
    x = 34,774,044,484/85,851
  6. Step 6: Final answer
    x = 405,051.13

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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.