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Finding the Third Proportional to 286,286 and 420,677

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Solution

The third proportional to 286,286 and 420,677 is: 618,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,286 : 420,677 = 420,677 : x
  2. Step 2: Convert to fraction form
    286,286/420,677 = 420,677/x
  3. Step 3: Cross multiply
    286,286x = 420,677 × 420,677
  4. Step 4: Simplify right side
    286,286x = 176,969,138,329
  5. Step 5: Solve for x
    x = 176,969,138,329/286,286
  6. Step 6: Final answer
    x = 618,155.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.