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Finding the Third Proportional to 65,921 and 145,288

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Solution

The third proportional to 65,921 and 145,288 is: 320,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921 : 145,288 = 145,288 : x
  2. Step 2: Convert to fraction form
    65,921/145,288 = 145,288/x
  3. Step 3: Cross multiply
    65,921x = 145,288 × 145,288
  4. Step 4: Simplify right side
    65,921x = 21,108,602,944
  5. Step 5: Solve for x
    x = 21,108,602,944/65,921
  6. Step 6: Final answer
    x = 320,210.60

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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.