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Finding the Third Proportional to 289,228 and 627,658

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Solution

The third proportional to 289,228 and 627,658 is: 1,362,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,228 : 627,658 = 627,658 : x
  2. Step 2: Convert to fraction form
    289,228/627,658 = 627,658/x
  3. Step 3: Cross multiply
    289,228x = 627,658 × 627,658
  4. Step 4: Simplify right side
    289,228x = 393,954,564,964
  5. Step 5: Solve for x
    x = 393,954,564,964/289,228
  6. Step 6: Final answer
    x = 1,362,089.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.