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Finding the Third Proportional to 345,916 and 731,392

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Solution

The third proportional to 345,916 and 731,392 is: 1,546,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,916 : 731,392 = 731,392 : x
  2. Step 2: Convert to fraction form
    345,916/731,392 = 731,392/x
  3. Step 3: Cross multiply
    345,916x = 731,392 × 731,392
  4. Step 4: Simplify right side
    345,916x = 534,934,257,664
  5. Step 5: Solve for x
    x = 534,934,257,664/345,916
  6. Step 6: Final answer
    x = 1,546,428.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.