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Finding the Third Proportional to 81,430,812 and 177,493,464

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Solution

The third proportional to 81,430,812 and 177,493,464 is: 386,879,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,430,812 : 177,493,464 = 177,493,464 : x
  2. Step 2: Convert to fraction form
    81,430,812/177,493,464 = 177,493,464/x
  3. Step 3: Cross multiply
    81,430,812x = 177,493,464 × 177,493,464
  4. Step 4: Simplify right side
    81,430,812x = 31,503,929,762,719,296
  5. Step 5: Solve for x
    x = 31,503,929,762,719,296/81,430,812
  6. Step 6: Final answer
    x = 386,879,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.