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Finding the Third Proportional to 337,220 and 705,620

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Solution

The third proportional to 337,220 and 705,620 is: 1,476,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,220 : 705,620 = 705,620 : x
  2. Step 2: Convert to fraction form
    337,220/705,620 = 705,620/x
  3. Step 3: Cross multiply
    337,220x = 705,620 × 705,620
  4. Step 4: Simplify right side
    337,220x = 497,899,584,400
  5. Step 5: Solve for x
    x = 497,899,584,400/337,220
  6. Step 6: Final answer
    x = 1,476,482.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.