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Finding the Third Proportional to 338,036 and 717,536

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Solution

The third proportional to 338,036 and 717,536 is: 1,523,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,036 : 717,536 = 717,536 : x
  2. Step 2: Convert to fraction form
    338,036/717,536 = 717,536/x
  3. Step 3: Cross multiply
    338,036x = 717,536 × 717,536
  4. Step 4: Simplify right side
    338,036x = 514,857,911,296
  5. Step 5: Solve for x
    x = 514,857,911,296/338,036
  6. Step 6: Final answer
    x = 1,523,086.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.