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Finding the Third Proportional to 4,199,072 and 9,211,709

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Solution

The third proportional to 4,199,072 and 9,211,709 is: 20,208,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,072 : 9,211,709 = 9,211,709 : x
  2. Step 2: Convert to fraction form
    4,199,072/9,211,709 = 9,211,709/x
  3. Step 3: Cross multiply
    4,199,072x = 9,211,709 × 9,211,709
  4. Step 4: Simplify right side
    4,199,072x = 84,855,582,700,681
  5. Step 5: Solve for x
    x = 84,855,582,700,681/4,199,072
  6. Step 6: Final answer
    x = 20,208,175.21

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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.