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Finding the Third Proportional to 213,858 and 432,900

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Solution

The third proportional to 213,858 and 432,900 is: 876,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,858 : 432,900 = 432,900 : x
  2. Step 2: Convert to fraction form
    213,858/432,900 = 432,900/x
  3. Step 3: Cross multiply
    213,858x = 432,900 × 432,900
  4. Step 4: Simplify right side
    213,858x = 187,402,410,000
  5. Step 5: Solve for x
    x = 187,402,410,000/213,858
  6. Step 6: Final answer
    x = 876,293.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.