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Finding the Third Proportional to 21,809,574 and 34,215,615

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Solution

The third proportional to 21,809,574 and 34,215,615 is: 53,678,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809,574 : 34,215,615 = 34,215,615 : x
  2. Step 2: Convert to fraction form
    21,809,574/34,215,615 = 34,215,615/x
  3. Step 3: Cross multiply
    21,809,574x = 34,215,615 × 34,215,615
  4. Step 4: Simplify right side
    21,809,574x = 1,170,708,309,828,225
  5. Step 5: Solve for x
    x = 1,170,708,309,828,225/21,809,574
  6. Step 6: Final answer
    x = 53,678,641.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.