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Finding the Third Proportional to 180,216,776.25 and 279,179,451

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Solution

The third proportional to 180,216,776.25 and 279,179,451 is: 432,485,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,216,776.25 : 279,179,451 = 279,179,451 : x
  2. Step 2: Convert to fraction form
    180,216,776.25/279,179,451 = 279,179,451/x
  3. Step 3: Cross multiply
    180,216,776.25x = 279,179,451 × 279,179,451
  4. Step 4: Simplify right side
    180,216,776.25x = 77,941,165,860,661,408
  5. Step 5: Solve for x
    x = 77,941,165,860,661,408/180,216,776.25
  6. Step 6: Final answer
    x = 432,485,629.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.