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Finding the Third Proportional to 259,840 and 561,128

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Solution

The third proportional to 259,840 and 561,128 is: 1,211,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,840 : 561,128 = 561,128 : x
  2. Step 2: Convert to fraction form
    259,840/561,128 = 561,128/x
  3. Step 3: Cross multiply
    259,840x = 561,128 × 561,128
  4. Step 4: Simplify right side
    259,840x = 314,864,632,384
  5. Step 5: Solve for x
    x = 314,864,632,384/259,840
  6. Step 6: Final answer
    x = 1,211,763.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.