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Finding the Third Proportional to 427,466 and 664,533

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Solution

The third proportional to 427,466 and 664,533 is: 1,033,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,466 : 664,533 = 664,533 : x
  2. Step 2: Convert to fraction form
    427,466/664,533 = 664,533/x
  3. Step 3: Cross multiply
    427,466x = 664,533 × 664,533
  4. Step 4: Simplify right side
    427,466x = 441,604,108,089
  5. Step 5: Solve for x
    x = 441,604,108,089/427,466
  6. Step 6: Final answer
    x = 1,033,074.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.