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Finding the Third Proportional to 338,190 and 506,361

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Solution

The third proportional to 338,190 and 506,361 is: 758,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,190 : 506,361 = 506,361 : x
  2. Step 2: Convert to fraction form
    338,190/506,361 = 506,361/x
  3. Step 3: Cross multiply
    338,190x = 506,361 × 506,361
  4. Step 4: Simplify right side
    338,190x = 256,401,462,321
  5. Step 5: Solve for x
    x = 256,401,462,321/338,190
  6. Step 6: Final answer
    x = 758,158.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.