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Finding the Third Proportional to 216,450 and 294,867

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Solution

The third proportional to 216,450 and 294,867 is: 401,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,450 : 294,867 = 294,867 : x
  2. Step 2: Convert to fraction form
    216,450/294,867 = 294,867/x
  3. Step 3: Cross multiply
    216,450x = 294,867 × 294,867
  4. Step 4: Simplify right side
    216,450x = 86,946,547,689
  5. Step 5: Solve for x
    x = 86,946,547,689/216,450
  6. Step 6: Final answer
    x = 401,693.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.