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Finding the Third Proportional to 120,570 and 264,787

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Solution

The third proportional to 120,570 and 264,787 is: 581,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,570 : 264,787 = 264,787 : x
  2. Step 2: Convert to fraction form
    120,570/264,787 = 264,787/x
  3. Step 3: Cross multiply
    120,570x = 264,787 × 264,787
  4. Step 4: Simplify right side
    120,570x = 70,112,155,369
  5. Step 5: Solve for x
    x = 70,112,155,369/120,570
  6. Step 6: Final answer
    x = 581,505.81

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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.