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Finding the Third Proportional to 140,780 and 303,565

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Solution

The third proportional to 140,780 and 303,565 is: 654,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780 : 303,565 = 303,565 : x
  2. Step 2: Convert to fraction form
    140,780/303,565 = 303,565/x
  3. Step 3: Cross multiply
    140,780x = 303,565 × 303,565
  4. Step 4: Simplify right side
    140,780x = 92,151,709,225
  5. Step 5: Solve for x
    x = 92,151,709,225/140,780
  6. Step 6: Final answer
    x = 654,579.55

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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.