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Finding the Third Proportional to 141,860 and 209,985

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Solution

The third proportional to 141,860 and 209,985 is: 310,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,860 : 209,985 = 209,985 : x
  2. Step 2: Convert to fraction form
    141,860/209,985 = 209,985/x
  3. Step 3: Cross multiply
    141,860x = 209,985 × 209,985
  4. Step 4: Simplify right side
    141,860x = 44,093,700,225
  5. Step 5: Solve for x
    x = 44,093,700,225/141,860
  6. Step 6: Final answer
    x = 310,825.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.