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Finding the Third Proportional to 290,824 and 627,470

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Solution

The third proportional to 290,824 and 627,470 is: 1,353,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,824 : 627,470 = 627,470 : x
  2. Step 2: Convert to fraction form
    290,824/627,470 = 627,470/x
  3. Step 3: Cross multiply
    290,824x = 627,470 × 627,470
  4. Step 4: Simplify right side
    290,824x = 393,718,600,900
  5. Step 5: Solve for x
    x = 393,718,600,900/290,824
  6. Step 6: Final answer
    x = 1,353,803.68

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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.