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Finding the Third Proportional to 80,894,128 and 114,462,712

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Solution

The third proportional to 80,894,128 and 114,462,712 is: 161,961,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894,128 : 114,462,712 = 114,462,712 : x
  2. Step 2: Convert to fraction form
    80,894,128/114,462,712 = 114,462,712/x
  3. Step 3: Cross multiply
    80,894,128x = 114,462,712 × 114,462,712
  4. Step 4: Simplify right side
    80,894,128x = 13,101,712,438,394,944
  5. Step 5: Solve for x
    x = 13,101,712,438,394,944/80,894,128
  6. Step 6: Final answer
    x = 161,961,229.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.