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Finding the Third Proportional to 1,005,172.50 and 2,167,800

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Solution

The third proportional to 1,005,172.50 and 2,167,800 is: 4,675,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,172.50 : 2,167,800 = 2,167,800 : x
  2. Step 2: Convert to fraction form
    1,005,172.50/2,167,800 = 2,167,800/x
  3. Step 3: Cross multiply
    1,005,172.50x = 2,167,800 × 2,167,800
  4. Step 4: Simplify right side
    1,005,172.50x = 4,699,356,840,000
  5. Step 5: Solve for x
    x = 4,699,356,840,000/1,005,172.50
  6. Step 6: Final answer
    x = 4,675,174.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.