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Finding the Third Proportional to 120,028 and 261,658

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Solution

The third proportional to 120,028 and 261,658 is: 570,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,028 : 261,658 = 261,658 : x
  2. Step 2: Convert to fraction form
    120,028/261,658 = 261,658/x
  3. Step 3: Cross multiply
    120,028x = 261,658 × 261,658
  4. Step 4: Simplify right side
    120,028x = 68,464,908,964
  5. Step 5: Solve for x
    x = 68,464,908,964/120,028
  6. Step 6: Final answer
    x = 570,407.81

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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.