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Finding the Third Proportional to 291,047.63 and 636,202.13

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Solution

The third proportional to 291,047.63 and 636,202.13 is: 1,390,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,047.63 : 636,202.13 = 636,202.13 : x
  2. Step 2: Convert to fraction form
    291,047.63/636,202.13 = 636,202.13/x
  3. Step 3: Cross multiply
    291,047.63x = 636,202.13 × 636,202.13
  4. Step 4: Simplify right side
    291,047.63x = 404,753,143,854.52
  5. Step 5: Solve for x
    x = 404,753,143,854.52/291,047.63
  6. Step 6: Final answer
    x = 1,390,676.68

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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.