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Finding the Third Proportional to 291,578,261.63 and 642,589,458.19

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Solution

The third proportional to 291,578,261.63 and 642,589,458.19 is: 1,416,159,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578,261.63 : 642,589,458.19 = 642,589,458.19 : x
  2. Step 2: Convert to fraction form
    291,578,261.63/642,589,458.19 = 642,589,458.19/x
  3. Step 3: Cross multiply
    291,578,261.63x = 642,589,458.19 × 642,589,458.19
  4. Step 4: Simplify right side
    291,578,261.63x = 412,921,211,773,704,832
  5. Step 5: Solve for x
    x = 412,921,211,773,704,832/291,578,261.63
  6. Step 6: Final answer
    x = 1,416,159,111.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.