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Finding the Third Proportional to 403,650 and 642,411

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Solution

The third proportional to 403,650 and 642,411 is: 1,022,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,650 : 642,411 = 642,411 : x
  2. Step 2: Convert to fraction form
    403,650/642,411 = 642,411/x
  3. Step 3: Cross multiply
    403,650x = 642,411 × 642,411
  4. Step 4: Simplify right side
    403,650x = 412,691,892,921
  5. Step 5: Solve for x
    x = 412,691,892,921/403,650
  6. Step 6: Final answer
    x = 1,022,400.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.