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Finding the Third Proportional to 810,742.50 and 1,262,040.75

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Solution

The third proportional to 810,742.50 and 1,262,040.75 is: 1,964,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,742.50 : 1,262,040.75 = 1,262,040.75 : x
  2. Step 2: Convert to fraction form
    810,742.50/1,262,040.75 = 1,262,040.75/x
  3. Step 3: Cross multiply
    810,742.50x = 1,262,040.75 × 1,262,040.75
  4. Step 4: Simplify right side
    810,742.50x = 1,592,746,854,660.56
  5. Step 5: Solve for x
    x = 1,592,746,854,660.56/810,742.50
  6. Step 6: Final answer
    x = 1,964,553.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.