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Finding the Third Proportional to 600,420 and 913,003

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Solution

The third proportional to 600,420 and 913,003 is: 1,388,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,420 : 913,003 = 913,003 : x
  2. Step 2: Convert to fraction form
    600,420/913,003 = 913,003/x
  3. Step 3: Cross multiply
    600,420x = 913,003 × 913,003
  4. Step 4: Simplify right side
    600,420x = 833,574,478,009
  5. Step 5: Solve for x
    x = 833,574,478,009/600,420
  6. Step 6: Final answer
    x = 1,388,318.97

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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.