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Finding the Third Proportional to 338,911 and 730,351

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Solution

The third proportional to 338,911 and 730,351 is: 1,573,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,911 : 730,351 = 730,351 : x
  2. Step 2: Convert to fraction form
    338,911/730,351 = 730,351/x
  3. Step 3: Cross multiply
    338,911x = 730,351 × 730,351
  4. Step 4: Simplify right side
    338,911x = 533,412,583,201
  5. Step 5: Solve for x
    x = 533,412,583,201/338,911
  6. Step 6: Final answer
    x = 1,573,901.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.