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Finding the Third Proportional to 290,799 and 627,426

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Solution

The third proportional to 290,799 and 627,426 is: 1,353,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,799 : 627,426 = 627,426 : x
  2. Step 2: Convert to fraction form
    290,799/627,426 = 627,426/x
  3. Step 3: Cross multiply
    290,799x = 627,426 × 627,426
  4. Step 4: Simplify right side
    290,799x = 393,663,385,476
  5. Step 5: Solve for x
    x = 393,663,385,476/290,799
  6. Step 6: Final answer
    x = 1,353,730.19

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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.