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Finding the Third Proportional to 189,153,042 and 407,485,524

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Solution

The third proportional to 189,153,042 and 407,485,524 is: 877,831,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,153,042 : 407,485,524 = 407,485,524 : x
  2. Step 2: Convert to fraction form
    189,153,042/407,485,524 = 407,485,524/x
  3. Step 3: Cross multiply
    189,153,042x = 407,485,524 × 407,485,524
  4. Step 4: Simplify right side
    189,153,042x = 166,044,452,269,554,560
  5. Step 5: Solve for x
    x = 166,044,452,269,554,560/189,153,042
  6. Step 6: Final answer
    x = 877,831,255.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.