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Finding the Third Proportional to 51,186,774 and 78,491,007

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Solution

The third proportional to 51,186,774 and 78,491,007 is: 120,359,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,186,774 : 78,491,007 = 78,491,007 : x
  2. Step 2: Convert to fraction form
    51,186,774/78,491,007 = 78,491,007/x
  3. Step 3: Cross multiply
    51,186,774x = 78,491,007 × 78,491,007
  4. Step 4: Simplify right side
    51,186,774x = 6,160,838,179,874,049
  5. Step 5: Solve for x
    x = 6,160,838,179,874,049/51,186,774
  6. Step 6: Final answer
    x = 120,359,962.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.