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Finding the Third Proportional to 345,969 and 748,800

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Solution

The third proportional to 345,969 and 748,800 is: 1,620,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,969 : 748,800 = 748,800 : x
  2. Step 2: Convert to fraction form
    345,969/748,800 = 748,800/x
  3. Step 3: Cross multiply
    345,969x = 748,800 × 748,800
  4. Step 4: Simplify right side
    345,969x = 560,701,440,000
  5. Step 5: Solve for x
    x = 560,701,440,000/345,969
  6. Step 6: Final answer
    x = 1,620,669.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.