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Finding the Third Proportional to 813,720 and 1,183,644

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Solution

The third proportional to 813,720 and 1,183,644 is: 1,721,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,720 : 1,183,644 = 1,183,644 : x
  2. Step 2: Convert to fraction form
    813,720/1,183,644 = 1,183,644/x
  3. Step 3: Cross multiply
    813,720x = 1,183,644 × 1,183,644
  4. Step 4: Simplify right side
    813,720x = 1,401,013,118,736
  5. Step 5: Solve for x
    x = 1,401,013,118,736/813,720
  6. Step 6: Final answer
    x = 1,721,738.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.