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Finding the Third Proportional to 343,826 and 531,291

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Solution

The third proportional to 343,826 and 531,291 is: 820,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,826 : 531,291 = 531,291 : x
  2. Step 2: Convert to fraction form
    343,826/531,291 = 531,291/x
  3. Step 3: Cross multiply
    343,826x = 531,291 × 531,291
  4. Step 4: Simplify right side
    343,826x = 282,270,126,681
  5. Step 5: Solve for x
    x = 282,270,126,681/343,826
  6. Step 6: Final answer
    x = 820,967.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.