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Finding the Third Proportional to 87,973,120 and 189,570,944

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Solution

The third proportional to 87,973,120 and 189,570,944 is: 408,501,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,973,120 : 189,570,944 = 189,570,944 : x
  2. Step 2: Convert to fraction form
    87,973,120/189,570,944 = 189,570,944/x
  3. Step 3: Cross multiply
    87,973,120x = 189,570,944 × 189,570,944
  4. Step 4: Simplify right side
    87,973,120x = 35,937,142,809,051,136
  5. Step 5: Solve for x
    x = 35,937,142,809,051,136/87,973,120
  6. Step 6: Final answer
    x = 408,501,401.44

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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.