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Finding the Third Proportional to 8,913,678 and 19,531,042

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Solution

The third proportional to 8,913,678 and 19,531,042 is: 42,795,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913,678 : 19,531,042 = 19,531,042 : x
  2. Step 2: Convert to fraction form
    8,913,678/19,531,042 = 19,531,042/x
  3. Step 3: Cross multiply
    8,913,678x = 19,531,042 × 19,531,042
  4. Step 4: Simplify right side
    8,913,678x = 381,461,601,605,764
  5. Step 5: Solve for x
    x = 381,461,601,605,764/8,913,678
  6. Step 6: Final answer
    x = 42,795,084.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.