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Finding the Third Proportional to 290,196 and 615,627

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Solution

The third proportional to 290,196 and 615,627 is: 1,306,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,196 : 615,627 = 615,627 : x
  2. Step 2: Convert to fraction form
    290,196/615,627 = 615,627/x
  3. Step 3: Cross multiply
    290,196x = 615,627 × 615,627
  4. Step 4: Simplify right side
    290,196x = 378,996,603,129
  5. Step 5: Solve for x
    x = 378,996,603,129/290,196
  6. Step 6: Final answer
    x = 1,306,002.16

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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.