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Finding the Third Proportional to 8,410,410 and 12,781,827

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Solution

The third proportional to 8,410,410 and 12,781,827 is: 19,425,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410,410 : 12,781,827 = 12,781,827 : x
  2. Step 2: Convert to fraction form
    8,410,410/12,781,827 = 12,781,827/x
  3. Step 3: Cross multiply
    8,410,410x = 12,781,827 × 12,781,827
  4. Step 4: Simplify right side
    8,410,410x = 163,375,101,457,929
  5. Step 5: Solve for x
    x = 163,375,101,457,929/8,410,410
  6. Step 6: Final answer
    x = 19,425,343.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.