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Finding the Third Proportional to 603,567 and 911,505

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Solution

The third proportional to 603,567 and 911,505 is: 1,376,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,567 : 911,505 = 911,505 : x
  2. Step 2: Convert to fraction form
    603,567/911,505 = 911,505/x
  3. Step 3: Cross multiply
    603,567x = 911,505 × 911,505
  4. Step 4: Simplify right side
    603,567x = 830,841,365,025
  5. Step 5: Solve for x
    x = 830,841,365,025/603,567
  6. Step 6: Final answer
    x = 1,376,552.01

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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.