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Finding the Third Proportional to 212,841 and 317,412

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Solution

The third proportional to 212,841 and 317,412 is: 473,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841 : 317,412 = 317,412 : x
  2. Step 2: Convert to fraction form
    212,841/317,412 = 317,412/x
  3. Step 3: Cross multiply
    212,841x = 317,412 × 317,412
  4. Step 4: Simplify right side
    212,841x = 100,750,377,744
  5. Step 5: Solve for x
    x = 100,750,377,744/212,841
  6. Step 6: Final answer
    x = 473,359.82

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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.