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Finding the Third Proportional to 484,490 and 743,684

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Solution

The third proportional to 484,490 and 743,684 is: 1,141,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,490 : 743,684 = 743,684 : x
  2. Step 2: Convert to fraction form
    484,490/743,684 = 743,684/x
  3. Step 3: Cross multiply
    484,490x = 743,684 × 743,684
  4. Step 4: Simplify right side
    484,490x = 553,065,891,856
  5. Step 5: Solve for x
    x = 553,065,891,856/484,490
  6. Step 6: Final answer
    x = 1,141,542.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.