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Finding the Third Proportional to 212,866 and 317,454

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Solution

The third proportional to 212,866 and 317,454 is: 473,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,866 : 317,454 = 317,454 : x
  2. Step 2: Convert to fraction form
    212,866/317,454 = 317,454/x
  3. Step 3: Cross multiply
    212,866x = 317,454 × 317,454
  4. Step 4: Simplify right side
    212,866x = 100,777,042,116
  5. Step 5: Solve for x
    x = 100,777,042,116/212,866
  6. Step 6: Final answer
    x = 473,429.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.