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Finding the Third Proportional to 289,680 and 424,149.75

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Solution

The third proportional to 289,680 and 424,149.75 is: 621,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680 : 424,149.75 = 424,149.75 : x
  2. Step 2: Convert to fraction form
    289,680/424,149.75 = 424,149.75/x
  3. Step 3: Cross multiply
    289,680x = 424,149.75 × 424,149.75
  4. Step 4: Simplify right side
    289,680x = 179,903,010,425.06
  5. Step 5: Solve for x
    x = 179,903,010,425.06/289,680
  6. Step 6: Final answer
    x = 621,040.49

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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.