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Finding the Third Proportional to 420,720 and 917,589

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Solution

The third proportional to 420,720 and 917,589 is: 2,001,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,720 : 917,589 = 917,589 : x
  2. Step 2: Convert to fraction form
    420,720/917,589 = 917,589/x
  3. Step 3: Cross multiply
    420,720x = 917,589 × 917,589
  4. Step 4: Simplify right side
    420,720x = 841,969,572,921
  5. Step 5: Solve for x
    x = 841,969,572,921/420,720
  6. Step 6: Final answer
    x = 2,001,258.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.