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Finding the Third Proportional to 343,421.50 and 755,358

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Solution

The third proportional to 343,421.50 and 755,358 is: 1,661,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,421.50 : 755,358 = 755,358 : x
  2. Step 2: Convert to fraction form
    343,421.50/755,358 = 755,358/x
  3. Step 3: Cross multiply
    343,421.50x = 755,358 × 755,358
  4. Step 4: Simplify right side
    343,421.50x = 570,565,708,164
  5. Step 5: Solve for x
    x = 570,565,708,164/343,421.50
  6. Step 6: Final answer
    x = 1,661,415.22

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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.