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Finding the Third Proportional to 291,069 and 636,237

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Solution

The third proportional to 291,069 and 636,237 is: 1,390,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,069 : 636,237 = 636,237 : x
  2. Step 2: Convert to fraction form
    291,069/636,237 = 636,237/x
  3. Step 3: Cross multiply
    291,069x = 636,237 × 636,237
  4. Step 4: Simplify right side
    291,069x = 404,797,520,169
  5. Step 5: Solve for x
    x = 404,797,520,169/291,069
  6. Step 6: Final answer
    x = 1,390,727.01

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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.