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Finding the Third Proportional to 69,486 and 141,430

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Solution

The third proportional to 69,486 and 141,430 is: 287,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,486 : 141,430 = 141,430 : x
  2. Step 2: Convert to fraction form
    69,486/141,430 = 141,430/x
  3. Step 3: Cross multiply
    69,486x = 141,430 × 141,430
  4. Step 4: Simplify right side
    69,486x = 20,002,444,900
  5. Step 5: Solve for x
    x = 20,002,444,900/69,486
  6. Step 6: Final answer
    x = 287,862.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.