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Finding the Third Proportional to 430,055 and 683,218

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Solution

The third proportional to 430,055 and 683,218 is: 1,085,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,055 : 683,218 = 683,218 : x
  2. Step 2: Convert to fraction form
    430,055/683,218 = 683,218/x
  3. Step 3: Cross multiply
    430,055x = 683,218 × 683,218
  4. Step 4: Simplify right side
    430,055x = 466,786,835,524
  5. Step 5: Solve for x
    x = 466,786,835,524/430,055
  6. Step 6: Final answer
    x = 1,085,411.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.