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Finding the Third Proportional to 289,670 and 424,135

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Solution

The third proportional to 289,670 and 424,135 is: 621,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,670 : 424,135 = 424,135 : x
  2. Step 2: Convert to fraction form
    289,670/424,135 = 424,135/x
  3. Step 3: Cross multiply
    289,670x = 424,135 × 424,135
  4. Step 4: Simplify right side
    289,670x = 179,890,498,225
  5. Step 5: Solve for x
    x = 179,890,498,225/289,670
  6. Step 6: Final answer
    x = 621,018.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.