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Finding the Third Proportional to 212,841 and 317,415.75

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Solution

The third proportional to 212,841 and 317,415.75 is: 473,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841 : 317,415.75 = 317,415.75 : x
  2. Step 2: Convert to fraction form
    212,841/317,415.75 = 317,415.75/x
  3. Step 3: Cross multiply
    212,841x = 317,415.75 × 317,415.75
  4. Step 4: Simplify right side
    212,841x = 100,752,758,348.06
  5. Step 5: Solve for x
    x = 100,752,758,348.06/212,841
  6. Step 6: Final answer
    x = 473,371.01

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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.