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Finding the Third Proportional to 128,413 and 199,614

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Solution

The third proportional to 128,413 and 199,614 is: 310,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413 : 199,614 = 199,614 : x
  2. Step 2: Convert to fraction form
    128,413/199,614 = 199,614/x
  3. Step 3: Cross multiply
    128,413x = 199,614 × 199,614
  4. Step 4: Simplify right side
    128,413x = 39,845,748,996
  5. Step 5: Solve for x
    x = 39,845,748,996/128,413
  6. Step 6: Final answer
    x = 310,293.73

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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.