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Finding the Third Proportional to 343,980 and 531,306

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Solution

The third proportional to 343,980 and 531,306 is: 820,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,980 : 531,306 = 531,306 : x
  2. Step 2: Convert to fraction form
    343,980/531,306 = 531,306/x
  3. Step 3: Cross multiply
    343,980x = 531,306 × 531,306
  4. Step 4: Simplify right side
    343,980x = 282,286,065,636
  5. Step 5: Solve for x
    x = 282,286,065,636/343,980
  6. Step 6: Final answer
    x = 820,646.74

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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.