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Finding the Third Proportional to 142,145,772 and 214,968,259

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Solution

The third proportional to 142,145,772 and 214,968,259 is: 325,098,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145,772 : 214,968,259 = 214,968,259 : x
  2. Step 2: Convert to fraction form
    142,145,772/214,968,259 = 214,968,259/x
  3. Step 3: Cross multiply
    142,145,772x = 214,968,259 × 214,968,259
  4. Step 4: Simplify right side
    142,145,772x = 46,211,352,377,491,080
  5. Step 5: Solve for x
    x = 46,211,352,377,491,080/142,145,772
  6. Step 6: Final answer
    x = 325,098,324.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.