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Finding the Third Proportional to 12,122,528 and 18,821,314

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Solution

The third proportional to 12,122,528 and 18,821,314 is: 29,221,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122,528 : 18,821,314 = 18,821,314 : x
  2. Step 2: Convert to fraction form
    12,122,528/18,821,314 = 18,821,314/x
  3. Step 3: Cross multiply
    12,122,528x = 18,821,314 × 18,821,314
  4. Step 4: Simplify right side
    12,122,528x = 354,241,860,686,596
  5. Step 5: Solve for x
    x = 354,241,860,686,596/12,122,528
  6. Step 6: Final answer
    x = 29,221,781.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.