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Finding the Third Proportional to 230,949,180 and 478,268,784

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Solution

The third proportional to 230,949,180 and 478,268,784 is: 990,438,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,949,180 : 478,268,784 = 478,268,784 : x
  2. Step 2: Convert to fraction form
    230,949,180/478,268,784 = 478,268,784/x
  3. Step 3: Cross multiply
    230,949,180x = 478,268,784 × 478,268,784
  4. Step 4: Simplify right side
    230,949,180x = 228,741,029,748,838,656
  5. Step 5: Solve for x
    x = 228,741,029,748,838,656/230,949,180
  6. Step 6: Final answer
    x = 990,438,804.54

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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.