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Finding the Third Proportional to 3,974,432 and 8,578,356

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Solution

The third proportional to 3,974,432 and 8,578,356 is: 18,515,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,432 : 8,578,356 = 8,578,356 : x
  2. Step 2: Convert to fraction form
    3,974,432/8,578,356 = 8,578,356/x
  3. Step 3: Cross multiply
    3,974,432x = 8,578,356 × 8,578,356
  4. Step 4: Simplify right side
    3,974,432x = 73,588,191,662,736
  5. Step 5: Solve for x
    x = 73,588,191,662,736/3,974,432
  6. Step 6: Final answer
    x = 18,515,398.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.