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Finding the Third Proportional to 7,663,424 and 12,771,863

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Solution

The third proportional to 7,663,424 and 12,771,863 is: 21,285,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,424 : 12,771,863 = 12,771,863 : x
  2. Step 2: Convert to fraction form
    7,663,424/12,771,863 = 12,771,863/x
  3. Step 3: Cross multiply
    7,663,424x = 12,771,863 × 12,771,863
  4. Step 4: Simplify right side
    7,663,424x = 163,120,484,490,769
  5. Step 5: Solve for x
    x = 163,120,484,490,769/7,663,424
  6. Step 6: Final answer
    x = 21,285,587.81

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.