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Finding the Third Proportional to 289,382 and 634,790

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Solution

The third proportional to 289,382 and 634,790 is: 1,392,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,382 : 634,790 = 634,790 : x
  2. Step 2: Convert to fraction form
    289,382/634,790 = 634,790/x
  3. Step 3: Cross multiply
    289,382x = 634,790 × 634,790
  4. Step 4: Simplify right side
    289,382x = 402,958,344,100
  5. Step 5: Solve for x
    x = 402,958,344,100/289,382
  6. Step 6: Final answer
    x = 1,392,478.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.