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Finding the Third Proportional to 86,475 and 186,774

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Solution

The third proportional to 86,475 and 186,774 is: 403,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,475 : 186,774 = 186,774 : x
  2. Step 2: Convert to fraction form
    86,475/186,774 = 186,774/x
  3. Step 3: Cross multiply
    86,475x = 186,774 × 186,774
  4. Step 4: Simplify right side
    86,475x = 34,884,527,076
  5. Step 5: Solve for x
    x = 34,884,527,076/86,475
  6. Step 6: Final answer
    x = 403,405.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.