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Finding the Third Proportional to 285,628 and 620,416

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Solution

The third proportional to 285,628 and 620,416 is: 1,347,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,628 : 620,416 = 620,416 : x
  2. Step 2: Convert to fraction form
    285,628/620,416 = 620,416/x
  3. Step 3: Cross multiply
    285,628x = 620,416 × 620,416
  4. Step 4: Simplify right side
    285,628x = 384,916,013,056
  5. Step 5: Solve for x
    x = 384,916,013,056/285,628
  6. Step 6: Final answer
    x = 1,347,613.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.