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Finding the Third Proportional to 291,250 and 441,386

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Solution

The third proportional to 291,250 and 441,386 is: 668,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,250 : 441,386 = 441,386 : x
  2. Step 2: Convert to fraction form
    291,250/441,386 = 441,386/x
  3. Step 3: Cross multiply
    291,250x = 441,386 × 441,386
  4. Step 4: Simplify right side
    291,250x = 194,821,600,996
  5. Step 5: Solve for x
    x = 194,821,600,996/291,250
  6. Step 6: Final answer
    x = 668,915.37

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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.