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Finding the Third Proportional to 393,617 and 815,239

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Solution

The third proportional to 393,617 and 815,239 is: 1,688,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,617 : 815,239 = 815,239 : x
  2. Step 2: Convert to fraction form
    393,617/815,239 = 815,239/x
  3. Step 3: Cross multiply
    393,617x = 815,239 × 815,239
  4. Step 4: Simplify right side
    393,617x = 664,614,627,121
  5. Step 5: Solve for x
    x = 664,614,627,121/393,617
  6. Step 6: Final answer
    x = 1,688,480.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.