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Finding the Third Proportional to 73,050 and 109,575

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Solution

The third proportional to 73,050 and 109,575 is: 164,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,050 : 109,575 = 109,575 : x
  2. Step 2: Convert to fraction form
    73,050/109,575 = 109,575/x
  3. Step 3: Cross multiply
    73,050x = 109,575 × 109,575
  4. Step 4: Simplify right side
    73,050x = 12,006,680,625
  5. Step 5: Solve for x
    x = 12,006,680,625/73,050
  6. Step 6: Final answer
    x = 164,362.50

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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.