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Finding the Third Proportional to 65,985 and 145,091

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Solution

The third proportional to 65,985 and 145,091 is: 319,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,985 : 145,091 = 145,091 : x
  2. Step 2: Convert to fraction form
    65,985/145,091 = 145,091/x
  3. Step 3: Cross multiply
    65,985x = 145,091 × 145,091
  4. Step 4: Simplify right side
    65,985x = 21,051,398,281
  5. Step 5: Solve for x
    x = 21,051,398,281/65,985
  6. Step 6: Final answer
    x = 319,033.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.