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Finding the Third Proportional to 338,403 and 714,390

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Solution

The third proportional to 338,403 and 714,390 is: 1,508,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,403 : 714,390 = 714,390 : x
  2. Step 2: Convert to fraction form
    338,403/714,390 = 714,390/x
  3. Step 3: Cross multiply
    338,403x = 714,390 × 714,390
  4. Step 4: Simplify right side
    338,403x = 510,353,072,100
  5. Step 5: Solve for x
    x = 510,353,072,100/338,403
  6. Step 6: Final answer
    x = 1,508,122.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.