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Finding the Third Proportional to 619,596 and 917,880

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Solution

The third proportional to 619,596 and 917,880 is: 1,359,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,596 : 917,880 = 917,880 : x
  2. Step 2: Convert to fraction form
    619,596/917,880 = 917,880/x
  3. Step 3: Cross multiply
    619,596x = 917,880 × 917,880
  4. Step 4: Simplify right side
    619,596x = 842,503,694,400
  5. Step 5: Solve for x
    x = 842,503,694,400/619,596
  6. Step 6: Final answer
    x = 1,359,762.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.