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Finding the Third Proportional to 203,972 and 293,780

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Solution

The third proportional to 203,972 and 293,780 is: 423,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,972 : 293,780 = 293,780 : x
  2. Step 2: Convert to fraction form
    203,972/293,780 = 293,780/x
  3. Step 3: Cross multiply
    203,972x = 293,780 × 293,780
  4. Step 4: Simplify right side
    203,972x = 86,306,688,400
  5. Step 5: Solve for x
    x = 86,306,688,400/203,972
  6. Step 6: Final answer
    x = 423,130.08

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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.