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Finding the Third Proportional to 289,940 and 448,029

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Solution

The third proportional to 289,940 and 448,029 is: 692,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,940 : 448,029 = 448,029 : x
  2. Step 2: Convert to fraction form
    289,940/448,029 = 448,029/x
  3. Step 3: Cross multiply
    289,940x = 448,029 × 448,029
  4. Step 4: Simplify right side
    289,940x = 200,729,984,841
  5. Step 5: Solve for x
    x = 200,729,984,841/289,940
  6. Step 6: Final answer
    x = 692,315.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.