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Finding the Third Proportional to 342,278 and 744,220

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Solution

The third proportional to 342,278 and 744,220 is: 1,618,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,278 : 744,220 = 744,220 : x
  2. Step 2: Convert to fraction form
    342,278/744,220 = 744,220/x
  3. Step 3: Cross multiply
    342,278x = 744,220 × 744,220
  4. Step 4: Simplify right side
    342,278x = 553,863,408,400
  5. Step 5: Solve for x
    x = 553,863,408,400/342,278
  6. Step 6: Final answer
    x = 1,618,168.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.