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Finding the Third Proportional to 705,188 and 1,550,344

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Solution

The third proportional to 705,188 and 1,550,344 is: 3,408,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,188 : 1,550,344 = 1,550,344 : x
  2. Step 2: Convert to fraction form
    705,188/1,550,344 = 1,550,344/x
  3. Step 3: Cross multiply
    705,188x = 1,550,344 × 1,550,344
  4. Step 4: Simplify right side
    705,188x = 2,403,566,518,336
  5. Step 5: Solve for x
    x = 2,403,566,518,336/705,188
  6. Step 6: Final answer
    x = 3,408,405.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.