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Finding the Third Proportional to 290,726 and 392,673

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Solution

The third proportional to 290,726 and 392,673 is: 530,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,726 : 392,673 = 392,673 : x
  2. Step 2: Convert to fraction form
    290,726/392,673 = 392,673/x
  3. Step 3: Cross multiply
    290,726x = 392,673 × 392,673
  4. Step 4: Simplify right side
    290,726x = 154,192,084,929
  5. Step 5: Solve for x
    x = 154,192,084,929/290,726
  6. Step 6: Final answer
    x = 530,369.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.