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Finding the Third Proportional to 61,221,431 and 133,204,077

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Solution

The third proportional to 61,221,431 and 133,204,077 is: 289,822,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,431 : 133,204,077 = 133,204,077 : x
  2. Step 2: Convert to fraction form
    61,221,431/133,204,077 = 133,204,077/x
  3. Step 3: Cross multiply
    61,221,431x = 133,204,077 × 133,204,077
  4. Step 4: Simplify right side
    61,221,431x = 17,743,326,129,421,928
  5. Step 5: Solve for x
    x = 17,743,326,129,421,928/61,221,431
  6. Step 6: Final answer
    x = 289,822,139.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.