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Finding the Third Proportional to 285,906 and 420,543

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Solution

The third proportional to 285,906 and 420,543 is: 618,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,906 : 420,543 = 420,543 : x
  2. Step 2: Convert to fraction form
    285,906/420,543 = 420,543/x
  3. Step 3: Cross multiply
    285,906x = 420,543 × 420,543
  4. Step 4: Simplify right side
    285,906x = 176,856,414,849
  5. Step 5: Solve for x
    x = 176,856,414,849/285,906
  6. Step 6: Final answer
    x = 618,582.38

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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.