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Finding the Third Proportional to 270,785 and 420,980

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Solution

The third proportional to 270,785 and 420,980 is: 654,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,785 : 420,980 = 420,980 : x
  2. Step 2: Convert to fraction form
    270,785/420,980 = 420,980/x
  3. Step 3: Cross multiply
    270,785x = 420,980 × 420,980
  4. Step 4: Simplify right side
    270,785x = 177,224,160,400
  5. Step 5: Solve for x
    x = 177,224,160,400/270,785
  6. Step 6: Final answer
    x = 654,482.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.