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Finding the Third Proportional to 804,810 and 1,207,311

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Solution

The third proportional to 804,810 and 1,207,311 is: 1,811,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,810 : 1,207,311 = 1,207,311 : x
  2. Step 2: Convert to fraction form
    804,810/1,207,311 = 1,207,311/x
  3. Step 3: Cross multiply
    804,810x = 1,207,311 × 1,207,311
  4. Step 4: Simplify right side
    804,810x = 1,457,599,850,721
  5. Step 5: Solve for x
    x = 1,457,599,850,721/804,810
  6. Step 6: Final answer
    x = 1,811,110.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.