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Finding the Third Proportional to 5,509,872 and 12,866,457

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Solution

The third proportional to 5,509,872 and 12,866,457 is: 30,045,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,872 : 12,866,457 = 12,866,457 : x
  2. Step 2: Convert to fraction form
    5,509,872/12,866,457 = 12,866,457/x
  3. Step 3: Cross multiply
    5,509,872x = 12,866,457 × 12,866,457
  4. Step 4: Simplify right side
    5,509,872x = 165,545,715,732,849
  5. Step 5: Solve for x
    x = 165,545,715,732,849/5,509,872
  6. Step 6: Final answer
    x = 30,045,292.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.