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Finding the Third Proportional to 5,387,896 and 8,137,856

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Solution

The third proportional to 5,387,896 and 8,137,856 is: 12,291,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,896 : 8,137,856 = 8,137,856 : x
  2. Step 2: Convert to fraction form
    5,387,896/8,137,856 = 8,137,856/x
  3. Step 3: Cross multiply
    5,387,896x = 8,137,856 × 8,137,856
  4. Step 4: Simplify right side
    5,387,896x = 66,224,700,276,736
  5. Step 5: Solve for x
    x = 66,224,700,276,736/5,387,896
  6. Step 6: Final answer
    x = 12,291,384.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.