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Finding the Third Proportional to 485,388 and 759,771

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Solution

The third proportional to 485,388 and 759,771 is: 1,189,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,388 : 759,771 = 759,771 : x
  2. Step 2: Convert to fraction form
    485,388/759,771 = 759,771/x
  3. Step 3: Cross multiply
    485,388x = 759,771 × 759,771
  4. Step 4: Simplify right side
    485,388x = 577,251,972,441
  5. Step 5: Solve for x
    x = 577,251,972,441/485,388
  6. Step 6: Final answer
    x = 1,189,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.