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Finding the Third Proportional to 128,625 and 275,709

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Solution

The third proportional to 128,625 and 275,709 is: 590,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,625 : 275,709 = 275,709 : x
  2. Step 2: Convert to fraction form
    128,625/275,709 = 275,709/x
  3. Step 3: Cross multiply
    128,625x = 275,709 × 275,709
  4. Step 4: Simplify right side
    128,625x = 76,015,452,681
  5. Step 5: Solve for x
    x = 76,015,452,681/128,625
  6. Step 6: Final answer
    x = 590,985.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.