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Finding the Third Proportional to 214,020 and 317,949

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Solution

The third proportional to 214,020 and 317,949 is: 472,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,020 : 317,949 = 317,949 : x
  2. Step 2: Convert to fraction form
    214,020/317,949 = 317,949/x
  3. Step 3: Cross multiply
    214,020x = 317,949 × 317,949
  4. Step 4: Simplify right side
    214,020x = 101,091,566,601
  5. Step 5: Solve for x
    x = 101,091,566,601/214,020
  6. Step 6: Final answer
    x = 472,346.35

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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.