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Finding the Third Proportional to 65,835 and 145,905.50

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Solution

The third proportional to 65,835 and 145,905.50 is: 323,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,835 : 145,905.50 = 145,905.50 : x
  2. Step 2: Convert to fraction form
    65,835/145,905.50 = 145,905.50/x
  3. Step 3: Cross multiply
    65,835x = 145,905.50 × 145,905.50
  4. Step 4: Simplify right side
    65,835x = 21,288,414,930.25
  5. Step 5: Solve for x
    x = 21,288,414,930.25/65,835
  6. Step 6: Final answer
    x = 323,360.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.