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Finding the Third Proportional to 120,829,366 and 178,977,992

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Solution

The third proportional to 120,829,366 and 178,977,992 is: 265,110,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,829,366 : 178,977,992 = 178,977,992 : x
  2. Step 2: Convert to fraction form
    120,829,366/178,977,992 = 178,977,992/x
  3. Step 3: Cross multiply
    120,829,366x = 178,977,992 × 178,977,992
  4. Step 4: Simplify right side
    120,829,366x = 32,033,121,620,352,064
  5. Step 5: Solve for x
    x = 32,033,121,620,352,064/120,829,366
  6. Step 6: Final answer
    x = 265,110,400.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.