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Finding the Third Proportional to 285,794 and 420,429

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Solution

The third proportional to 285,794 and 420,429 is: 618,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,794 : 420,429 = 420,429 : x
  2. Step 2: Convert to fraction form
    285,794/420,429 = 420,429/x
  3. Step 3: Cross multiply
    285,794x = 420,429 × 420,429
  4. Step 4: Simplify right side
    285,794x = 176,760,544,041
  5. Step 5: Solve for x
    x = 176,760,544,041/285,794
  6. Step 6: Final answer
    x = 618,489.35

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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.