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Finding the Third Proportional to 561,978 and 1,223,712

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Solution

The third proportional to 561,978 and 1,223,712 is: 2,664,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,978 : 1,223,712 = 1,223,712 : x
  2. Step 2: Convert to fraction form
    561,978/1,223,712 = 1,223,712/x
  3. Step 3: Cross multiply
    561,978x = 1,223,712 × 1,223,712
  4. Step 4: Simplify right side
    561,978x = 1,497,471,058,944
  5. Step 5: Solve for x
    x = 1,497,471,058,944/561,978
  6. Step 6: Final answer
    x = 2,664,643.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.