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Finding the Third Proportional to 81,513 and 146,886.75

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Solution

The third proportional to 81,513 and 146,886.75 is: 264,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,513 : 146,886.75 = 146,886.75 : x
  2. Step 2: Convert to fraction form
    81,513/146,886.75 = 146,886.75/x
  3. Step 3: Cross multiply
    81,513x = 146,886.75 × 146,886.75
  4. Step 4: Simplify right side
    81,513x = 21,575,717,325.56
  5. Step 5: Solve for x
    x = 21,575,717,325.56/81,513
  6. Step 6: Final answer
    x = 264,690.51

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.