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Finding the Third Proportional to 73,798 and 110,710.50

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Solution

The third proportional to 73,798 and 110,710.50 is: 166,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,798 : 110,710.50 = 110,710.50 : x
  2. Step 2: Convert to fraction form
    73,798/110,710.50 = 110,710.50/x
  3. Step 3: Cross multiply
    73,798x = 110,710.50 × 110,710.50
  4. Step 4: Simplify right side
    73,798x = 12,256,814,810.25
  5. Step 5: Solve for x
    x = 12,256,814,810.25/73,798
  6. Step 6: Final answer
    x = 166,086.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.