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Finding the Third Proportional to 120,783 and 260,034

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Solution

The third proportional to 120,783 and 260,034 is: 559,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783 : 260,034 = 260,034 : x
  2. Step 2: Convert to fraction form
    120,783/260,034 = 260,034/x
  3. Step 3: Cross multiply
    120,783x = 260,034 × 260,034
  4. Step 4: Simplify right side
    120,783x = 67,617,681,156
  5. Step 5: Solve for x
    x = 67,617,681,156/120,783
  6. Step 6: Final answer
    x = 559,827.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.