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Finding the Third Proportional to 310,314 and 442,932

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Solution

The third proportional to 310,314 and 442,932 is: 632,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,314 : 442,932 = 442,932 : x
  2. Step 2: Convert to fraction form
    310,314/442,932 = 442,932/x
  3. Step 3: Cross multiply
    310,314x = 442,932 × 442,932
  4. Step 4: Simplify right side
    310,314x = 196,188,756,624
  5. Step 5: Solve for x
    x = 196,188,756,624/310,314
  6. Step 6: Final answer
    x = 632,226.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.