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Finding the Third Proportional to 2,429,871.75 and 5,220,338.63

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Solution

The third proportional to 2,429,871.75 and 5,220,338.63 is: 11,215,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,871.75 : 5,220,338.63 = 5,220,338.63 : x
  2. Step 2: Convert to fraction form
    2,429,871.75/5,220,338.63 = 5,220,338.63/x
  3. Step 3: Cross multiply
    2,429,871.75x = 5,220,338.63 × 5,220,338.63
  4. Step 4: Simplify right side
    2,429,871.75x = 27,251,935,359,666.89
  5. Step 5: Solve for x
    x = 27,251,935,359,666.89/2,429,871.75
  6. Step 6: Final answer
    x = 11,215,380.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.