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Finding the Third Proportional to 2,156,643.56 and 4,616,239.78

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Solution

The third proportional to 2,156,643.56 and 4,616,239.78 is: 9,880,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,643.56 : 4,616,239.78 = 4,616,239.78 : x
  2. Step 2: Convert to fraction form
    2,156,643.56/4,616,239.78 = 4,616,239.78/x
  3. Step 3: Cross multiply
    2,156,643.56x = 4,616,239.78 × 4,616,239.78
  4. Step 4: Simplify right side
    2,156,643.56x = 21,309,669,717,995.05
  5. Step 5: Solve for x
    x = 21,309,669,717,995.05/2,156,643.56
  6. Step 6: Final answer
    x = 9,880,941.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.