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Finding the Third Proportional to 212,420 and 452,488

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Solution

The third proportional to 212,420 and 452,488 is: 963,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,420 : 452,488 = 452,488 : x
  2. Step 2: Convert to fraction form
    212,420/452,488 = 452,488/x
  3. Step 3: Cross multiply
    212,420x = 452,488 × 452,488
  4. Step 4: Simplify right side
    212,420x = 204,745,390,144
  5. Step 5: Solve for x
    x = 204,745,390,144/212,420
  6. Step 6: Final answer
    x = 963,870.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.