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Finding the Third Proportional to 142,567.88 and 199,319.63

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Solution

The third proportional to 142,567.88 and 199,319.63 is: 278,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,567.88 : 199,319.63 = 199,319.63 : x
  2. Step 2: Convert to fraction form
    142,567.88/199,319.63 = 199,319.63/x
  3. Step 3: Cross multiply
    142,567.88x = 199,319.63 × 199,319.63
  4. Step 4: Simplify right side
    142,567.88x = 39,728,312,910.14
  5. Step 5: Solve for x
    x = 39,728,312,910.14/142,567.88
  6. Step 6: Final answer
    x = 278,662.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.