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Finding the Third Proportional to 290,804 and 426,606

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Solution

The third proportional to 290,804 and 426,606 is: 625,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,804 : 426,606 = 426,606 : x
  2. Step 2: Convert to fraction form
    290,804/426,606 = 426,606/x
  3. Step 3: Cross multiply
    290,804x = 426,606 × 426,606
  4. Step 4: Simplify right side
    290,804x = 181,992,679,236
  5. Step 5: Solve for x
    x = 181,992,679,236/290,804
  6. Step 6: Final answer
    x = 625,825.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.