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Finding the Third Proportional to 409,289.25 and 860,995.13

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Solution

The third proportional to 409,289.25 and 860,995.13 is: 1,811,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,289.25 : 860,995.13 = 860,995.13 : x
  2. Step 2: Convert to fraction form
    409,289.25/860,995.13 = 860,995.13/x
  3. Step 3: Cross multiply
    409,289.25x = 860,995.13 × 860,995.13
  4. Step 4: Simplify right side
    409,289.25x = 741,312,605,273.77
  5. Step 5: Solve for x
    x = 741,312,605,273.77/409,289.25
  6. Step 6: Final answer
    x = 1,811,219.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.