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Finding the Third Proportional to 285,628 and 427,578

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Solution

The third proportional to 285,628 and 427,578 is: 640,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,628 : 427,578 = 427,578 : x
  2. Step 2: Convert to fraction form
    285,628/427,578 = 427,578/x
  3. Step 3: Cross multiply
    285,628x = 427,578 × 427,578
  4. Step 4: Simplify right side
    285,628x = 182,822,946,084
  5. Step 5: Solve for x
    x = 182,822,946,084/285,628
  6. Step 6: Final answer
    x = 640,073.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.