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Finding the Third Proportional to 203,436 and 293,490

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Solution

The third proportional to 203,436 and 293,490 is: 423,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,436 : 293,490 = 293,490 : x
  2. Step 2: Convert to fraction form
    203,436/293,490 = 293,490/x
  3. Step 3: Cross multiply
    203,436x = 293,490 × 293,490
  4. Step 4: Simplify right side
    203,436x = 86,136,380,100
  5. Step 5: Solve for x
    x = 86,136,380,100/203,436
  6. Step 6: Final answer
    x = 423,407.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.