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Finding the Third Proportional to 4,000,670 and 8,641,015

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Solution

The third proportional to 4,000,670 and 8,641,015 is: 18,663,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,670 : 8,641,015 = 8,641,015 : x
  2. Step 2: Convert to fraction form
    4,000,670/8,641,015 = 8,641,015/x
  3. Step 3: Cross multiply
    4,000,670x = 8,641,015 × 8,641,015
  4. Step 4: Simplify right side
    4,000,670x = 74,667,140,230,225
  5. Step 5: Solve for x
    x = 74,667,140,230,225/4,000,670
  6. Step 6: Final answer
    x = 18,663,658.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.