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Finding the Third Proportional to 213,586 and 453,508

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Solution

The third proportional to 213,586 and 453,508 is: 962,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,586 : 453,508 = 453,508 : x
  2. Step 2: Convert to fraction form
    213,586/453,508 = 453,508/x
  3. Step 3: Cross multiply
    213,586x = 453,508 × 453,508
  4. Step 4: Simplify right side
    213,586x = 205,669,506,064
  5. Step 5: Solve for x
    x = 205,669,506,064/213,586
  6. Step 6: Final answer
    x = 962,935.33

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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.