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Finding the Third Proportional to 343,940 and 531,464

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Solution

The third proportional to 343,940 and 531,464 is: 821,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,940 : 531,464 = 531,464 : x
  2. Step 2: Convert to fraction form
    343,940/531,464 = 531,464/x
  3. Step 3: Cross multiply
    343,940x = 531,464 × 531,464
  4. Step 4: Simplify right side
    343,940x = 282,453,983,296
  5. Step 5: Solve for x
    x = 282,453,983,296/343,940
  6. Step 6: Final answer
    x = 821,230.40

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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.