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Finding the Third Proportional to 390,978 and 609,811

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Solution

The third proportional to 390,978 and 609,811 is: 951,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,978 : 609,811 = 609,811 : x
  2. Step 2: Convert to fraction form
    390,978/609,811 = 609,811/x
  3. Step 3: Cross multiply
    390,978x = 609,811 × 609,811
  4. Step 4: Simplify right side
    390,978x = 371,869,455,721
  5. Step 5: Solve for x
    x = 371,869,455,721/390,978
  6. Step 6: Final answer
    x = 951,126.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.