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Finding the Third Proportional to 289,363.50 and 627,021

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Solution

The third proportional to 289,363.50 and 627,021 is: 1,358,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,363.50 : 627,021 = 627,021 : x
  2. Step 2: Convert to fraction form
    289,363.50/627,021 = 627,021/x
  3. Step 3: Cross multiply
    289,363.50x = 627,021 × 627,021
  4. Step 4: Simplify right side
    289,363.50x = 393,155,334,441
  5. Step 5: Solve for x
    x = 393,155,334,441/289,363.50
  6. Step 6: Final answer
    x = 1,358,690.14

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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.