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Finding the Third Proportional to 813,729 and 1,183,657.50

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Solution

The third proportional to 813,729 and 1,183,657.50 is: 1,721,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,729 : 1,183,657.50 = 1,183,657.50 : x
  2. Step 2: Convert to fraction form
    813,729/1,183,657.50 = 1,183,657.50/x
  3. Step 3: Cross multiply
    813,729x = 1,183,657.50 × 1,183,657.50
  4. Step 4: Simplify right side
    813,729x = 1,401,045,077,306.25
  5. Step 5: Solve for x
    x = 1,401,045,077,306.25/813,729
  6. Step 6: Final answer
    x = 1,721,758.81

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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.