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Finding the Third Proportional to 106,434 and 147,987

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Solution

The third proportional to 106,434 and 147,987 is: 205,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434 : 147,987 = 147,987 : x
  2. Step 2: Convert to fraction form
    106,434/147,987 = 147,987/x
  3. Step 3: Cross multiply
    106,434x = 147,987 × 147,987
  4. Step 4: Simplify right side
    106,434x = 21,900,152,169
  5. Step 5: Solve for x
    x = 21,900,152,169/106,434
  6. Step 6: Final answer
    x = 205,762.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.