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Finding the Third Proportional to 270,410.06 and 420,364.69

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Solution

The third proportional to 270,410.06 and 420,364.69 is: 653,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,410.06 : 420,364.69 = 420,364.69 : x
  2. Step 2: Convert to fraction form
    270,410.06/420,364.69 = 420,364.69/x
  3. Step 3: Cross multiply
    270,410.06x = 420,364.69 × 420,364.69
  4. Step 4: Simplify right side
    270,410.06x = 176,706,470,496.97
  5. Step 5: Solve for x
    x = 176,706,470,496.97/270,410.06
  6. Step 6: Final answer
    x = 653,475.94

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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.