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Finding the Third Proportional to 285,146 and 612,412

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Solution

The third proportional to 285,146 and 612,412 is: 1,315,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,146 : 612,412 = 612,412 : x
  2. Step 2: Convert to fraction form
    285,146/612,412 = 612,412/x
  3. Step 3: Cross multiply
    285,146x = 612,412 × 612,412
  4. Step 4: Simplify right side
    285,146x = 375,048,457,744
  5. Step 5: Solve for x
    x = 375,048,457,744/285,146
  6. Step 6: Final answer
    x = 1,315,285.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.