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Finding the Third Proportional to 401,234 and 609,731

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Solution

The third proportional to 401,234 and 609,731 is: 926,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,234 : 609,731 = 609,731 : x
  2. Step 2: Convert to fraction form
    401,234/609,731 = 609,731/x
  3. Step 3: Cross multiply
    401,234x = 609,731 × 609,731
  4. Step 4: Simplify right side
    401,234x = 371,771,892,361
  5. Step 5: Solve for x
    x = 371,771,892,361/401,234
  6. Step 6: Final answer
    x = 926,571.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.