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Finding the Third Proportional to 255,291 and 424,002

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Solution

The third proportional to 255,291 and 424,002 is: 704,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,291 : 424,002 = 424,002 : x
  2. Step 2: Convert to fraction form
    255,291/424,002 = 424,002/x
  3. Step 3: Cross multiply
    255,291x = 424,002 × 424,002
  4. Step 4: Simplify right side
    255,291x = 179,777,696,004
  5. Step 5: Solve for x
    x = 179,777,696,004/255,291
  6. Step 6: Final answer
    x = 704,206.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.