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Finding the Third Proportional to 290,228 and 425,406

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Solution

The third proportional to 290,228 and 425,406 is: 623,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,228 : 425,406 = 425,406 : x
  2. Step 2: Convert to fraction form
    290,228/425,406 = 425,406/x
  3. Step 3: Cross multiply
    290,228x = 425,406 × 425,406
  4. Step 4: Simplify right side
    290,228x = 180,970,264,836
  5. Step 5: Solve for x
    x = 180,970,264,836/290,228
  6. Step 6: Final answer
    x = 623,545.16

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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.