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Finding the Third Proportional to 120,428 and 264,691

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Solution

The third proportional to 120,428 and 264,691 is: 581,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428 : 264,691 = 264,691 : x
  2. Step 2: Convert to fraction form
    120,428/264,691 = 264,691/x
  3. Step 3: Cross multiply
    120,428x = 264,691 × 264,691
  4. Step 4: Simplify right side
    120,428x = 70,061,325,481
  5. Step 5: Solve for x
    x = 70,061,325,481/120,428
  6. Step 6: Final answer
    x = 581,769.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.