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Finding the Third Proportional to 343,440 and 755,388

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Solution

The third proportional to 343,440 and 755,388 is: 1,661,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,440 : 755,388 = 755,388 : x
  2. Step 2: Convert to fraction form
    343,440/755,388 = 755,388/x
  3. Step 3: Cross multiply
    343,440x = 755,388 × 755,388
  4. Step 4: Simplify right side
    343,440x = 570,611,030,544
  5. Step 5: Solve for x
    x = 570,611,030,544/343,440
  6. Step 6: Final answer
    x = 1,661,457.69

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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.