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Finding the Third Proportional to 77,243,931 and 108,257,171

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Solution

The third proportional to 77,243,931 and 108,257,171 is: 151,722,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243,931 : 108,257,171 = 108,257,171 : x
  2. Step 2: Convert to fraction form
    77,243,931/108,257,171 = 108,257,171/x
  3. Step 3: Cross multiply
    77,243,931x = 108,257,171 × 108,257,171
  4. Step 4: Simplify right side
    77,243,931x = 11,719,615,072,923,240
  5. Step 5: Solve for x
    x = 11,719,615,072,923,240/77,243,931
  6. Step 6: Final answer
    x = 151,722,147.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.