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Finding the Third Proportional to 230,948,989.50 and 478,268,397

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Solution

The third proportional to 230,948,989.50 and 478,268,397 is: 990,438,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,948,989.50 : 478,268,397 = 478,268,397 : x
  2. Step 2: Convert to fraction form
    230,948,989.50/478,268,397 = 478,268,397/x
  3. Step 3: Cross multiply
    230,948,989.50x = 478,268,397 × 478,268,397
  4. Step 4: Simplify right side
    230,948,989.50x = 228,740,659,568,949,600
  5. Step 5: Solve for x
    x = 228,740,659,568,949,600/230,948,989.50
  6. Step 6: Final answer
    x = 990,438,018.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.