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Finding the Third Proportional to 216,840 and 345,336

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Solution

The third proportional to 216,840 and 345,336 is: 549,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,840 : 345,336 = 345,336 : x
  2. Step 2: Convert to fraction form
    216,840/345,336 = 345,336/x
  3. Step 3: Cross multiply
    216,840x = 345,336 × 345,336
  4. Step 4: Simplify right side
    216,840x = 119,256,952,896
  5. Step 5: Solve for x
    x = 119,256,952,896/216,840
  6. Step 6: Final answer
    x = 549,976.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.