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Finding the Third Proportional to 289,802 and 426,040

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Solution

The third proportional to 289,802 and 426,040 is: 626,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,802 : 426,040 = 426,040 : x
  2. Step 2: Convert to fraction form
    289,802/426,040 = 426,040/x
  3. Step 3: Cross multiply
    289,802x = 426,040 × 426,040
  4. Step 4: Simplify right side
    289,802x = 181,510,081,600
  5. Step 5: Solve for x
    x = 181,510,081,600/289,802
  6. Step 6: Final answer
    x = 626,324.46

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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.