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Finding the Third Proportional to 286,266 and 420,647

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Solution

The third proportional to 286,266 and 420,647 is: 618,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266 : 420,647 = 420,647 : x
  2. Step 2: Convert to fraction form
    286,266/420,647 = 420,647/x
  3. Step 3: Cross multiply
    286,266x = 420,647 × 420,647
  4. Step 4: Simplify right side
    286,266x = 176,943,898,609
  5. Step 5: Solve for x
    x = 176,943,898,609/286,266
  6. Step 6: Final answer
    x = 618,110.07

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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.