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Finding the Third Proportional to 7,071,900 and 15,439,179

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Solution

The third proportional to 7,071,900 and 15,439,179 is: 33,706,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,900 : 15,439,179 = 15,439,179 : x
  2. Step 2: Convert to fraction form
    7,071,900/15,439,179 = 15,439,179/x
  3. Step 3: Cross multiply
    7,071,900x = 15,439,179 × 15,439,179
  4. Step 4: Simplify right side
    7,071,900x = 238,368,248,194,041
  5. Step 5: Solve for x
    x = 238,368,248,194,041/7,071,900
  6. Step 6: Final answer
    x = 33,706,394.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.