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Finding the Third Proportional to 289,424 and 448,080

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Solution

The third proportional to 289,424 and 448,080 is: 693,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,424 : 448,080 = 448,080 : x
  2. Step 2: Convert to fraction form
    289,424/448,080 = 448,080/x
  3. Step 3: Cross multiply
    289,424x = 448,080 × 448,080
  4. Step 4: Simplify right side
    289,424x = 200,775,686,400
  5. Step 5: Solve for x
    x = 200,775,686,400/289,424
  6. Step 6: Final answer
    x = 693,707.80

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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.