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Finding the Third Proportional to 289,424 and 620,376

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Solution

The third proportional to 289,424 and 620,376 is: 1,329,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,424 : 620,376 = 620,376 : x
  2. Step 2: Convert to fraction form
    289,424/620,376 = 620,376/x
  3. Step 3: Cross multiply
    289,424x = 620,376 × 620,376
  4. Step 4: Simplify right side
    289,424x = 384,866,381,376
  5. Step 5: Solve for x
    x = 384,866,381,376/289,424
  6. Step 6: Final answer
    x = 1,329,766.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.