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Finding the Third Proportional to 213,413 and 453,109

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Solution

The third proportional to 213,413 and 453,109 is: 962,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,413 : 453,109 = 453,109 : x
  2. Step 2: Convert to fraction form
    213,413/453,109 = 453,109/x
  3. Step 3: Cross multiply
    213,413x = 453,109 × 453,109
  4. Step 4: Simplify right side
    213,413x = 205,307,765,881
  5. Step 5: Solve for x
    x = 205,307,765,881/213,413
  6. Step 6: Final answer
    x = 962,020.90

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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.