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Finding the Third Proportional to 289,386 and 448,038

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Solution

The third proportional to 289,386 and 448,038 is: 693,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,386 : 448,038 = 448,038 : x
  2. Step 2: Convert to fraction form
    289,386/448,038 = 448,038/x
  3. Step 3: Cross multiply
    289,386x = 448,038 × 448,038
  4. Step 4: Simplify right side
    289,386x = 200,738,049,444
  5. Step 5: Solve for x
    x = 200,738,049,444/289,386
  6. Step 6: Final answer
    x = 693,668.83

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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.