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Finding the Third Proportional to 8,437,509 and 11,946,861

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Solution

The third proportional to 8,437,509 and 11,946,861 is: 16,915,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437,509 : 11,946,861 = 11,946,861 : x
  2. Step 2: Convert to fraction form
    8,437,509/11,946,861 = 11,946,861/x
  3. Step 3: Cross multiply
    8,437,509x = 11,946,861 × 11,946,861
  4. Step 4: Simplify right side
    8,437,509x = 142,727,487,753,321
  5. Step 5: Solve for x
    x = 142,727,487,753,321/8,437,509
  6. Step 6: Final answer
    x = 16,915,832.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.