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Finding the Third Proportional to 8,020,909 and 17,320,208

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Solution

The third proportional to 8,020,909 and 17,320,208 is: 37,400,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,909 : 17,320,208 = 17,320,208 : x
  2. Step 2: Convert to fraction form
    8,020,909/17,320,208 = 17,320,208/x
  3. Step 3: Cross multiply
    8,020,909x = 17,320,208 × 17,320,208
  4. Step 4: Simplify right side
    8,020,909x = 299,989,605,163,264
  5. Step 5: Solve for x
    x = 299,989,605,163,264/8,020,909
  6. Step 6: Final answer
    x = 37,400,948.59

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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.