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Finding the Third Proportional to 291,824 and 627,240

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Solution

The third proportional to 291,824 and 627,240 is: 1,348,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,824 : 627,240 = 627,240 : x
  2. Step 2: Convert to fraction form
    291,824/627,240 = 627,240/x
  3. Step 3: Cross multiply
    291,824x = 627,240 × 627,240
  4. Step 4: Simplify right side
    291,824x = 393,430,017,600
  5. Step 5: Solve for x
    x = 393,430,017,600/291,824
  6. Step 6: Final answer
    x = 1,348,175.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.