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Finding the Third Proportional to 345,066 and 731,638

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Solution

The third proportional to 345,066 and 731,638 is: 1,551,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,066 : 731,638 = 731,638 : x
  2. Step 2: Convert to fraction form
    345,066/731,638 = 731,638/x
  3. Step 3: Cross multiply
    345,066x = 731,638 × 731,638
  4. Step 4: Simplify right side
    345,066x = 535,294,163,044
  5. Step 5: Solve for x
    x = 535,294,163,044/345,066
  6. Step 6: Final answer
    x = 1,551,280.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.