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Finding the Third Proportional to 142,045 and 305,595

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Solution

The third proportional to 142,045 and 305,595 is: 657,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,045 : 305,595 = 305,595 : x
  2. Step 2: Convert to fraction form
    142,045/305,595 = 305,595/x
  3. Step 3: Cross multiply
    142,045x = 305,595 × 305,595
  4. Step 4: Simplify right side
    142,045x = 93,388,304,025
  5. Step 5: Solve for x
    x = 93,388,304,025/142,045
  6. Step 6: Final answer
    x = 657,455.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.