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Finding the Third Proportional to 289,488 and 448,200

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Solution

The third proportional to 289,488 and 448,200 is: 693,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,488 : 448,200 = 448,200 : x
  2. Step 2: Convert to fraction form
    289,488/448,200 = 448,200/x
  3. Step 3: Cross multiply
    289,488x = 448,200 × 448,200
  4. Step 4: Simplify right side
    289,488x = 200,883,240,000
  5. Step 5: Solve for x
    x = 200,883,240,000/289,488
  6. Step 6: Final answer
    x = 693,925.97

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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.