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Finding the Third Proportional to 223,380 and 340,335

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Solution

The third proportional to 223,380 and 340,335 is: 518,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,380 : 340,335 = 340,335 : x
  2. Step 2: Convert to fraction form
    223,380/340,335 = 340,335/x
  3. Step 3: Cross multiply
    223,380x = 340,335 × 340,335
  4. Step 4: Simplify right side
    223,380x = 115,827,912,225
  5. Step 5: Solve for x
    x = 115,827,912,225/223,380
  6. Step 6: Final answer
    x = 518,524.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.