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Finding the Third Proportional to 189,167,400 and 285,104,150

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Solution

The third proportional to 189,167,400 and 285,104,150 is: 429,695,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,167,400 : 285,104,150 = 285,104,150 : x
  2. Step 2: Convert to fraction form
    189,167,400/285,104,150 = 285,104,150/x
  3. Step 3: Cross multiply
    189,167,400x = 285,104,150 × 285,104,150
  4. Step 4: Simplify right side
    189,167,400x = 81,284,376,347,222,496
  5. Step 5: Solve for x
    x = 81,284,376,347,222,496/189,167,400
  6. Step 6: Final answer
    x = 429,695,477.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.