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Finding the Third Proportional to 100,940 and 210,160

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Solution

The third proportional to 100,940 and 210,160 is: 437,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,940 : 210,160 = 210,160 : x
  2. Step 2: Convert to fraction form
    100,940/210,160 = 210,160/x
  3. Step 3: Cross multiply
    100,940x = 210,160 × 210,160
  4. Step 4: Simplify right side
    100,940x = 44,167,225,600
  5. Step 5: Solve for x
    x = 44,167,225,600/100,940
  6. Step 6: Final answer
    x = 437,559.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.