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Finding the Third Proportional to 344,072 and 521,292

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Solution

The third proportional to 344,072 and 521,292 is: 789,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,072 : 521,292 = 521,292 : x
  2. Step 2: Convert to fraction form
    344,072/521,292 = 521,292/x
  3. Step 3: Cross multiply
    344,072x = 521,292 × 521,292
  4. Step 4: Simplify right side
    344,072x = 271,745,349,264
  5. Step 5: Solve for x
    x = 271,745,349,264/344,072
  6. Step 6: Final answer
    x = 789,792.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.