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Finding the Third Proportional to 290,803 and 627,433

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Solution

The third proportional to 290,803 and 627,433 is: 1,353,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,803 : 627,433 = 627,433 : x
  2. Step 2: Convert to fraction form
    290,803/627,433 = 627,433/x
  3. Step 3: Cross multiply
    290,803x = 627,433 × 627,433
  4. Step 4: Simplify right side
    290,803x = 393,672,169,489
  5. Step 5: Solve for x
    x = 393,672,169,489/290,803
  6. Step 6: Final answer
    x = 1,353,741.78

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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.