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Finding the Third Proportional to 3,785,080 and 8,302,964

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Solution

The third proportional to 3,785,080 and 8,302,964 is: 18,213,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,080 : 8,302,964 = 8,302,964 : x
  2. Step 2: Convert to fraction form
    3,785,080/8,302,964 = 8,302,964/x
  3. Step 3: Cross multiply
    3,785,080x = 8,302,964 × 8,302,964
  4. Step 4: Simplify right side
    3,785,080x = 68,939,211,185,296
  5. Step 5: Solve for x
    x = 68,939,211,185,296/3,785,080
  6. Step 6: Final answer
    x = 18,213,409.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.