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Finding the Third Proportional to 208,034 and 313,519

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Solution

The third proportional to 208,034 and 313,519 is: 472,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034 : 313,519 = 313,519 : x
  2. Step 2: Convert to fraction form
    208,034/313,519 = 313,519/x
  3. Step 3: Cross multiply
    208,034x = 313,519 × 313,519
  4. Step 4: Simplify right side
    208,034x = 98,294,163,361
  5. Step 5: Solve for x
    x = 98,294,163,361/208,034
  6. Step 6: Final answer
    x = 472,490.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.