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Finding the Third Proportional to 291,058.31 and 636,219.56

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Solution

The third proportional to 291,058.31 and 636,219.56 is: 1,390,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,058.31 : 636,219.56 = 636,219.56 : x
  2. Step 2: Convert to fraction form
    291,058.31/636,219.56 = 636,219.56/x
  3. Step 3: Cross multiply
    291,058.31x = 636,219.56 × 636,219.56
  4. Step 4: Simplify right side
    291,058.31x = 404,775,331,707.69
  5. Step 5: Solve for x
    x = 404,775,331,707.69/291,058.31
  6. Step 6: Final answer
    x = 1,390,701.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.