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Finding the Third Proportional to 136,285 and 318,335

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Solution

The third proportional to 136,285 and 318,335 is: 743,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,285 : 318,335 = 318,335 : x
  2. Step 2: Convert to fraction form
    136,285/318,335 = 318,335/x
  3. Step 3: Cross multiply
    136,285x = 318,335 × 318,335
  4. Step 4: Simplify right side
    136,285x = 101,337,172,225
  5. Step 5: Solve for x
    x = 101,337,172,225/136,285
  6. Step 6: Final answer
    x = 743,568.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.