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Finding the Third Proportional to 290,236 and 448,294

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Solution

The third proportional to 290,236 and 448,294 is: 692,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,236 : 448,294 = 448,294 : x
  2. Step 2: Convert to fraction form
    290,236/448,294 = 448,294/x
  3. Step 3: Cross multiply
    290,236x = 448,294 × 448,294
  4. Step 4: Simplify right side
    290,236x = 200,967,510,436
  5. Step 5: Solve for x
    x = 200,967,510,436/290,236
  6. Step 6: Final answer
    x = 692,427.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.