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Finding the Third Proportional to 338,356 and 491,550

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Solution

The third proportional to 338,356 and 491,550 is: 714,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,356 : 491,550 = 491,550 : x
  2. Step 2: Convert to fraction form
    338,356/491,550 = 491,550/x
  3. Step 3: Cross multiply
    338,356x = 491,550 × 491,550
  4. Step 4: Simplify right side
    338,356x = 241,621,402,500
  5. Step 5: Solve for x
    x = 241,621,402,500/338,356
  6. Step 6: Final answer
    x = 714,104.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.