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Finding the Third Proportional to 291,271 and 441,417

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Solution

The third proportional to 291,271 and 441,417 is: 668,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,271 : 441,417 = 441,417 : x
  2. Step 2: Convert to fraction form
    291,271/441,417 = 441,417/x
  3. Step 3: Cross multiply
    291,271x = 441,417 × 441,417
  4. Step 4: Simplify right side
    291,271x = 194,848,967,889
  5. Step 5: Solve for x
    x = 194,848,967,889/291,271
  6. Step 6: Final answer
    x = 668,961.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.