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Finding the Third Proportional to 3,946,806 and 8,631,724.50

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Solution

The third proportional to 3,946,806 and 8,631,724.50 is: 18,877,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946,806 : 8,631,724.50 = 8,631,724.50 : x
  2. Step 2: Convert to fraction form
    3,946,806/8,631,724.50 = 8,631,724.50/x
  3. Step 3: Cross multiply
    3,946,806x = 8,631,724.50 × 8,631,724.50
  4. Step 4: Simplify right side
    3,946,806x = 74,506,667,843,900.25
  5. Step 5: Solve for x
    x = 74,506,667,843,900.25/3,946,806
  6. Step 6: Final answer
    x = 18,877,712.22

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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.