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Finding the Third Proportional to 776,767.50 and 1,049,469.75

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Solution

The third proportional to 776,767.50 and 1,049,469.75 is: 1,417,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,767.50 : 1,049,469.75 = 1,049,469.75 : x
  2. Step 2: Convert to fraction form
    776,767.50/1,049,469.75 = 1,049,469.75/x
  3. Step 3: Cross multiply
    776,767.50x = 1,049,469.75 × 1,049,469.75
  4. Step 4: Simplify right side
    776,767.50x = 1,101,386,756,165.06
  5. Step 5: Solve for x
    x = 1,101,386,756,165.06/776,767.50
  6. Step 6: Final answer
    x = 1,417,910.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.