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Finding the Third Proportional to 3,719,686.50 and 7,885,764

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Solution

The third proportional to 3,719,686.50 and 7,885,764 is: 16,717,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719,686.50 : 7,885,764 = 7,885,764 : x
  2. Step 2: Convert to fraction form
    3,719,686.50/7,885,764 = 7,885,764/x
  3. Step 3: Cross multiply
    3,719,686.50x = 7,885,764 × 7,885,764
  4. Step 4: Simplify right side
    3,719,686.50x = 62,185,273,863,696
  5. Step 5: Solve for x
    x = 62,185,273,863,696/3,719,686.50
  6. Step 6: Final answer
    x = 16,717,880.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.