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Finding the Third Proportional to 12,309,057 and 28,493,268.75

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Solution

The third proportional to 12,309,057 and 28,493,268.75 is: 65,956,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309,057 : 28,493,268.75 = 28,493,268.75 : x
  2. Step 2: Convert to fraction form
    12,309,057/28,493,268.75 = 28,493,268.75/x
  3. Step 3: Cross multiply
    12,309,057x = 28,493,268.75 × 28,493,268.75
  4. Step 4: Simplify right side
    12,309,057x = 811,866,364,059,726.50
  5. Step 5: Solve for x
    x = 811,866,364,059,726.50/12,309,057
  6. Step 6: Final answer
    x = 65,956,828.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.