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Finding the Third Proportional to 142,609.50 and 305,464.13

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Solution

The third proportional to 142,609.50 and 305,464.13 is: 654,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,609.50 : 305,464.13 = 305,464.13 : x
  2. Step 2: Convert to fraction form
    142,609.50/305,464.13 = 305,464.13/x
  3. Step 3: Cross multiply
    142,609.50x = 305,464.13 × 305,464.13
  4. Step 4: Simplify right side
    142,609.50x = 93,308,331,662.02
  5. Step 5: Solve for x
    x = 93,308,331,662.02/142,609.50
  6. Step 6: Final answer
    x = 654,292.54

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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.