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Finding the Third Proportional to 85,747 and 185,803

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Solution

The third proportional to 85,747 and 185,803 is: 402,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,747 : 185,803 = 185,803 : x
  2. Step 2: Convert to fraction form
    85,747/185,803 = 185,803/x
  3. Step 3: Cross multiply
    85,747x = 185,803 × 185,803
  4. Step 4: Simplify right side
    85,747x = 34,522,754,809
  5. Step 5: Solve for x
    x = 34,522,754,809/85,747
  6. Step 6: Final answer
    x = 402,611.81

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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.