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Finding the Third Proportional to 290,230 and 448,480

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Solution

The third proportional to 290,230 and 448,480 is: 693,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,230 : 448,480 = 448,480 : x
  2. Step 2: Convert to fraction form
    290,230/448,480 = 448,480/x
  3. Step 3: Cross multiply
    290,230x = 448,480 × 448,480
  4. Step 4: Simplify right side
    290,230x = 201,134,310,400
  5. Step 5: Solve for x
    x = 201,134,310,400/290,230
  6. Step 6: Final answer
    x = 693,016.95

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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.