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Finding the Third Proportional to 343,997 and 531,332

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Solution

The third proportional to 343,997 and 531,332 is: 820,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,997 : 531,332 = 531,332 : x
  2. Step 2: Convert to fraction form
    343,997/531,332 = 531,332/x
  3. Step 3: Cross multiply
    343,997x = 531,332 × 531,332
  4. Step 4: Simplify right side
    343,997x = 282,313,694,224
  5. Step 5: Solve for x
    x = 282,313,694,224/343,997
  6. Step 6: Final answer
    x = 820,686.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.