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Finding the Third Proportional to 120,780 and 260,964

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Solution

The third proportional to 120,780 and 260,964 is: 563,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780 : 260,964 = 260,964 : x
  2. Step 2: Convert to fraction form
    120,780/260,964 = 260,964/x
  3. Step 3: Cross multiply
    120,780x = 260,964 × 260,964
  4. Step 4: Simplify right side
    120,780x = 68,102,209,296
  5. Step 5: Solve for x
    x = 68,102,209,296/120,780
  6. Step 6: Final answer
    x = 563,853.36

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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.