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Finding the Third Proportional to 343,828 and 531,294

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Solution

The third proportional to 343,828 and 531,294 is: 820,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,828 : 531,294 = 531,294 : x
  2. Step 2: Convert to fraction form
    343,828/531,294 = 531,294/x
  3. Step 3: Cross multiply
    343,828x = 531,294 × 531,294
  4. Step 4: Simplify right side
    343,828x = 282,273,314,436
  5. Step 5: Solve for x
    x = 282,273,314,436/343,828
  6. Step 6: Final answer
    x = 820,972.45

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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.