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Finding the Third Proportional to 312,522 and 442,506

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Solution

The third proportional to 312,522 and 442,506 is: 626,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,522 : 442,506 = 442,506 : x
  2. Step 2: Convert to fraction form
    312,522/442,506 = 442,506/x
  3. Step 3: Cross multiply
    312,522x = 442,506 × 442,506
  4. Step 4: Simplify right side
    312,522x = 195,811,560,036
  5. Step 5: Solve for x
    x = 195,811,560,036/312,522
  6. Step 6: Final answer
    x = 626,552.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.