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Finding the Third Proportional to 290,315 and 627,338

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Solution

The third proportional to 290,315 and 627,338 is: 1,355,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,315 : 627,338 = 627,338 : x
  2. Step 2: Convert to fraction form
    290,315/627,338 = 627,338/x
  3. Step 3: Cross multiply
    290,315x = 627,338 × 627,338
  4. Step 4: Simplify right side
    290,315x = 393,552,966,244
  5. Step 5: Solve for x
    x = 393,552,966,244/290,315
  6. Step 6: Final answer
    x = 1,355,606.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.