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Finding the Third Proportional to 72,654 and 109,054.50

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Solution

The third proportional to 72,654 and 109,054.50 is: 163,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,654 : 109,054.50 = 109,054.50 : x
  2. Step 2: Convert to fraction form
    72,654/109,054.50 = 109,054.50/x
  3. Step 3: Cross multiply
    72,654x = 109,054.50 × 109,054.50
  4. Step 4: Simplify right side
    72,654x = 11,892,883,970.25
  5. Step 5: Solve for x
    x = 11,892,883,970.25/72,654
  6. Step 6: Final answer
    x = 163,692.07

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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.