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Finding the Third Proportional to 290,473 and 638,222

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Solution

The third proportional to 290,473 and 638,222 is: 1,402,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,473 : 638,222 = 638,222 : x
  2. Step 2: Convert to fraction form
    290,473/638,222 = 638,222/x
  3. Step 3: Cross multiply
    290,473x = 638,222 × 638,222
  4. Step 4: Simplify right side
    290,473x = 407,327,321,284
  5. Step 5: Solve for x
    x = 407,327,321,284/290,473
  6. Step 6: Final answer
    x = 1,402,289.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.