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Finding the Third Proportional to 285,812 and 609,586

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Solution

The third proportional to 285,812 and 609,586 is: 1,300,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,812 : 609,586 = 609,586 : x
  2. Step 2: Convert to fraction form
    285,812/609,586 = 609,586/x
  3. Step 3: Cross multiply
    285,812x = 609,586 × 609,586
  4. Step 4: Simplify right side
    285,812x = 371,595,091,396
  5. Step 5: Solve for x
    x = 371,595,091,396/285,812
  6. Step 6: Final answer
    x = 1,300,138.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.