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Finding the Third Proportional to 290,839 and 615,211

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Solution

The third proportional to 290,839 and 615,211 is: 1,301,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,839 : 615,211 = 615,211 : x
  2. Step 2: Convert to fraction form
    290,839/615,211 = 615,211/x
  3. Step 3: Cross multiply
    290,839x = 615,211 × 615,211
  4. Step 4: Simplify right side
    290,839x = 378,484,574,521
  5. Step 5: Solve for x
    x = 378,484,574,521/290,839
  6. Step 6: Final answer
    x = 1,301,354.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.