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Finding the Third Proportional to 290,224 and 425,400

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Solution

The third proportional to 290,224 and 425,400 is: 623,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,224 : 425,400 = 425,400 : x
  2. Step 2: Convert to fraction form
    290,224/425,400 = 425,400/x
  3. Step 3: Cross multiply
    290,224x = 425,400 × 425,400
  4. Step 4: Simplify right side
    290,224x = 180,965,160,000
  5. Step 5: Solve for x
    x = 180,965,160,000/290,224
  6. Step 6: Final answer
    x = 623,536.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.