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Finding the Third Proportional to 142,565 and 199,316

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Solution

The third proportional to 142,565 and 199,316 is: 278,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,565 : 199,316 = 199,316 : x
  2. Step 2: Convert to fraction form
    142,565/199,316 = 199,316/x
  3. Step 3: Cross multiply
    142,565x = 199,316 × 199,316
  4. Step 4: Simplify right side
    142,565x = 39,726,867,856
  5. Step 5: Solve for x
    x = 39,726,867,856/142,565
  6. Step 6: Final answer
    x = 278,657.93

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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.