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Finding the Third Proportional to 216,840 and 333,708

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Solution

The third proportional to 216,840 and 333,708 is: 513,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,840 : 333,708 = 333,708 : x
  2. Step 2: Convert to fraction form
    216,840/333,708 = 333,708/x
  3. Step 3: Cross multiply
    216,840x = 333,708 × 333,708
  4. Step 4: Simplify right side
    216,840x = 111,361,029,264
  5. Step 5: Solve for x
    x = 111,361,029,264/216,840
  6. Step 6: Final answer
    x = 513,563.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.