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Finding the Third Proportional to 142,567.50 and 199,317.75

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Solution

The third proportional to 142,567.50 and 199,317.75 is: 278,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,567.50 : 199,317.75 = 199,317.75 : x
  2. Step 2: Convert to fraction form
    142,567.50/199,317.75 = 199,317.75/x
  3. Step 3: Cross multiply
    142,567.50x = 199,317.75 × 199,317.75
  4. Step 4: Simplify right side
    142,567.50x = 39,727,565,465.06
  5. Step 5: Solve for x
    x = 39,727,565,465.06/142,567.50
  6. Step 6: Final answer
    x = 278,657.94

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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.