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Finding the Third Proportional to 263,889,790.31 and 357,990,416.44

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Solution

The third proportional to 263,889,790.31 and 357,990,416.44 is: 485,646,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,889,790.31 : 357,990,416.44 = 357,990,416.44 : x
  2. Step 2: Convert to fraction form
    263,889,790.31/357,990,416.44 = 357,990,416.44/x
  3. Step 3: Cross multiply
    263,889,790.31x = 357,990,416.44 × 357,990,416.44
  4. Step 4: Simplify right side
    263,889,790.31x = 128,157,138,261,094,672
  5. Step 5: Solve for x
    x = 128,157,138,261,094,672/263,889,790.31
  6. Step 6: Final answer
    x = 485,646,443.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.