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Finding the Third Proportional to 427,260 and 670,218

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Solution

The third proportional to 427,260 and 670,218 is: 1,051,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,260 : 670,218 = 670,218 : x
  2. Step 2: Convert to fraction form
    427,260/670,218 = 670,218/x
  3. Step 3: Cross multiply
    427,260x = 670,218 × 670,218
  4. Step 4: Simplify right side
    427,260x = 449,192,167,524
  5. Step 5: Solve for x
    x = 449,192,167,524/427,260
  6. Step 6: Final answer
    x = 1,051,332.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.