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Finding the Third Proportional to 270,550 and 424,401

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Solution

The third proportional to 270,550 and 424,401 is: 665,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,550 : 424,401 = 424,401 : x
  2. Step 2: Convert to fraction form
    270,550/424,401 = 424,401/x
  3. Step 3: Cross multiply
    270,550x = 424,401 × 424,401
  4. Step 4: Simplify right side
    270,550x = 180,116,208,801
  5. Step 5: Solve for x
    x = 180,116,208,801/270,550
  6. Step 6: Final answer
    x = 665,740.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.