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Finding the Third Proportional to 290,217 and 448,443

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Solution

The third proportional to 290,217 and 448,443 is: 692,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,217 : 448,443 = 448,443 : x
  2. Step 2: Convert to fraction form
    290,217/448,443 = 448,443/x
  3. Step 3: Cross multiply
    290,217x = 448,443 × 448,443
  4. Step 4: Simplify right side
    290,217x = 201,101,124,249
  5. Step 5: Solve for x
    x = 201,101,124,249/290,217
  6. Step 6: Final answer
    x = 692,933.65

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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.