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Finding the Third Proportional to 338,597 and 705,219

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Solution

The third proportional to 338,597 and 705,219 is: 1,468,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,597 : 705,219 = 705,219 : x
  2. Step 2: Convert to fraction form
    338,597/705,219 = 705,219/x
  3. Step 3: Cross multiply
    338,597x = 705,219 × 705,219
  4. Step 4: Simplify right side
    338,597x = 497,333,837,961
  5. Step 5: Solve for x
    x = 497,333,837,961/338,597
  6. Step 6: Final answer
    x = 1,468,807.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.