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Finding the Third Proportional to 403,126 and 609,904

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Solution

The third proportional to 403,126 and 609,904 is: 922,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,126 : 609,904 = 609,904 : x
  2. Step 2: Convert to fraction form
    403,126/609,904 = 609,904/x
  3. Step 3: Cross multiply
    403,126x = 609,904 × 609,904
  4. Step 4: Simplify right side
    403,126x = 371,982,889,216
  5. Step 5: Solve for x
    x = 371,982,889,216/403,126
  6. Step 6: Final answer
    x = 922,745.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.