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Finding the Third Proportional to 202,787 and 293,724

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Solution

The third proportional to 202,787 and 293,724 is: 425,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,787 : 293,724 = 293,724 : x
  2. Step 2: Convert to fraction form
    202,787/293,724 = 293,724/x
  3. Step 3: Cross multiply
    202,787x = 293,724 × 293,724
  4. Step 4: Simplify right side
    202,787x = 86,273,788,176
  5. Step 5: Solve for x
    x = 86,273,788,176/202,787
  6. Step 6: Final answer
    x = 425,440.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.