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Finding the Third Proportional to 3,163,584 and 6,824,832

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Solution

The third proportional to 3,163,584 and 6,824,832 is: 14,723,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,584 : 6,824,832 = 6,824,832 : x
  2. Step 2: Convert to fraction form
    3,163,584/6,824,832 = 6,824,832/x
  3. Step 3: Cross multiply
    3,163,584x = 6,824,832 × 6,824,832
  4. Step 4: Simplify right side
    3,163,584x = 46,578,331,828,224
  5. Step 5: Solve for x
    x = 46,578,331,828,224/3,163,584
  6. Step 6: Final answer
    x = 14,723,279.62

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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.