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Finding the Third Proportional to 218,130 and 462,630

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Solution

The third proportional to 218,130 and 462,630 is: 981,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,130 : 462,630 = 462,630 : x
  2. Step 2: Convert to fraction form
    218,130/462,630 = 462,630/x
  3. Step 3: Cross multiply
    218,130x = 462,630 × 462,630
  4. Step 4: Simplify right side
    218,130x = 214,026,516,900
  5. Step 5: Solve for x
    x = 214,026,516,900/218,130
  6. Step 6: Final answer
    x = 981,187.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.