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Finding the Third Proportional to 7,406,106 and 11,109,141

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Solution

The third proportional to 7,406,106 and 11,109,141 is: 16,663,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406,106 : 11,109,141 = 11,109,141 : x
  2. Step 2: Convert to fraction form
    7,406,106/11,109,141 = 11,109,141/x
  3. Step 3: Cross multiply
    7,406,106x = 11,109,141 × 11,109,141
  4. Step 4: Simplify right side
    7,406,106x = 123,413,013,757,881
  5. Step 5: Solve for x
    x = 123,413,013,757,881/7,406,106
  6. Step 6: Final answer
    x = 16,663,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.