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Finding the Third Proportional to 205,603 and 448,478

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Solution

The third proportional to 205,603 and 448,478 is: 978,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,603 : 448,478 = 448,478 : x
  2. Step 2: Convert to fraction form
    205,603/448,478 = 448,478/x
  3. Step 3: Cross multiply
    205,603x = 448,478 × 448,478
  4. Step 4: Simplify right side
    205,603x = 201,132,516,484
  5. Step 5: Solve for x
    x = 201,132,516,484/205,603
  6. Step 6: Final answer
    x = 978,256.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.