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Finding the Third Proportional to 102,000 and 220,940

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Solution

The third proportional to 102,000 and 220,940 is: 478,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000 : 220,940 = 220,940 : x
  2. Step 2: Convert to fraction form
    102,000/220,940 = 220,940/x
  3. Step 3: Cross multiply
    102,000x = 220,940 × 220,940
  4. Step 4: Simplify right side
    102,000x = 48,814,483,600
  5. Step 5: Solve for x
    x = 48,814,483,600/102,000
  6. Step 6: Final answer
    x = 478,573.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.