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Finding the Third Proportional to 5,257,578 and 10,914,646.50

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Solution

The third proportional to 5,257,578 and 10,914,646.50 is: 22,658,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257,578 : 10,914,646.50 = 10,914,646.50 : x
  2. Step 2: Convert to fraction form
    5,257,578/10,914,646.50 = 10,914,646.50/x
  3. Step 3: Cross multiply
    5,257,578x = 10,914,646.50 × 10,914,646.50
  4. Step 4: Simplify right side
    5,257,578x = 119,129,508,219,962.25
  5. Step 5: Solve for x
    x = 119,129,508,219,962.25/5,257,578
  6. Step 6: Final answer
    x = 22,658,628.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.