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Finding the Third Proportional to 259,856 and 561,160

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Solution

The third proportional to 259,856 and 561,160 is: 1,211,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,856 : 561,160 = 561,160 : x
  2. Step 2: Convert to fraction form
    259,856/561,160 = 561,160/x
  3. Step 3: Cross multiply
    259,856x = 561,160 × 561,160
  4. Step 4: Simplify right side
    259,856x = 314,900,545,600
  5. Step 5: Solve for x
    x = 314,900,545,600/259,856
  6. Step 6: Final answer
    x = 1,211,827.11

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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.