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Finding the Third Proportional to 285,878 and 420,243

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Solution

The third proportional to 285,878 and 420,243 is: 617,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,878 : 420,243 = 420,243 : x
  2. Step 2: Convert to fraction form
    285,878/420,243 = 420,243/x
  3. Step 3: Cross multiply
    285,878x = 420,243 × 420,243
  4. Step 4: Simplify right side
    285,878x = 176,604,179,049
  5. Step 5: Solve for x
    x = 176,604,179,049/285,878
  6. Step 6: Final answer
    x = 617,760.65

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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.