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Finding the Third Proportional to 354,639 and 769,560

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Solution

The third proportional to 354,639 and 769,560 is: 1,669,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,639 : 769,560 = 769,560 : x
  2. Step 2: Convert to fraction form
    354,639/769,560 = 769,560/x
  3. Step 3: Cross multiply
    354,639x = 769,560 × 769,560
  4. Step 4: Simplify right side
    354,639x = 592,222,593,600
  5. Step 5: Solve for x
    x = 592,222,593,600/354,639
  6. Step 6: Final answer
    x = 1,669,930.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.