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Finding the Third Proportional to 213,318 and 452,871

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Solution

The third proportional to 213,318 and 452,871 is: 961,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,318 : 452,871 = 452,871 : x
  2. Step 2: Convert to fraction form
    213,318/452,871 = 452,871/x
  3. Step 3: Cross multiply
    213,318x = 452,871 × 452,871
  4. Step 4: Simplify right side
    213,318x = 205,092,142,641
  5. Step 5: Solve for x
    x = 205,092,142,641/213,318
  6. Step 6: Final answer
    x = 961,438.52

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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.