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Finding the Third Proportional to 216,786 and 340,521

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Solution

The third proportional to 216,786 and 340,521 is: 534,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,786 : 340,521 = 340,521 : x
  2. Step 2: Convert to fraction form
    216,786/340,521 = 340,521/x
  3. Step 3: Cross multiply
    216,786x = 340,521 × 340,521
  4. Step 4: Simplify right side
    216,786x = 115,954,551,441
  5. Step 5: Solve for x
    x = 115,954,551,441/216,786
  6. Step 6: Final answer
    x = 534,880.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.