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Finding the Third Proportional to 298,719 and 645,138

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Solution

The third proportional to 298,719 and 645,138 is: 1,393,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,719 : 645,138 = 645,138 : x
  2. Step 2: Convert to fraction form
    298,719/645,138 = 645,138/x
  3. Step 3: Cross multiply
    298,719x = 645,138 × 645,138
  4. Step 4: Simplify right side
    298,719x = 416,203,039,044
  5. Step 5: Solve for x
    x = 416,203,039,044/298,719
  6. Step 6: Final answer
    x = 1,393,292.82

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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.