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Finding the Third Proportional to 291,209 and 446,987

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Solution

The third proportional to 291,209 and 446,987 is: 686,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209 : 446,987 = 446,987 : x
  2. Step 2: Convert to fraction form
    291,209/446,987 = 446,987/x
  3. Step 3: Cross multiply
    291,209x = 446,987 × 446,987
  4. Step 4: Simplify right side
    291,209x = 199,797,378,169
  5. Step 5: Solve for x
    x = 199,797,378,169/291,209
  6. Step 6: Final answer
    x = 686,096.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.