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Finding the Third Proportional to 207,440 and 455,040

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Solution

The third proportional to 207,440 and 455,040 is: 998,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,440 : 455,040 = 455,040 : x
  2. Step 2: Convert to fraction form
    207,440/455,040 = 455,040/x
  3. Step 3: Cross multiply
    207,440x = 455,040 × 455,040
  4. Step 4: Simplify right side
    207,440x = 207,061,401,600
  5. Step 5: Solve for x
    x = 207,061,401,600/207,440
  6. Step 6: Final answer
    x = 998,174.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.