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Finding the Third Proportional to 130,050 and 205,983

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Solution

The third proportional to 130,050 and 205,983 is: 326,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,050 : 205,983 = 205,983 : x
  2. Step 2: Convert to fraction form
    130,050/205,983 = 205,983/x
  3. Step 3: Cross multiply
    130,050x = 205,983 × 205,983
  4. Step 4: Simplify right side
    130,050x = 42,428,996,289
  5. Step 5: Solve for x
    x = 42,428,996,289/130,050
  6. Step 6: Final answer
    x = 326,251.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.