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Finding the Third Proportional to 290,592 and 627,084

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Solution

The third proportional to 290,592 and 627,084 is: 1,353,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,592 : 627,084 = 627,084 : x
  2. Step 2: Convert to fraction form
    290,592/627,084 = 627,084/x
  3. Step 3: Cross multiply
    290,592x = 627,084 × 627,084
  4. Step 4: Simplify right side
    290,592x = 393,234,343,056
  5. Step 5: Solve for x
    x = 393,234,343,056/290,592
  6. Step 6: Final answer
    x = 1,353,218.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.