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Finding the Third Proportional to 290,208 and 609,792

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Solution

The third proportional to 290,208 and 609,792 is: 1,281,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,208 : 609,792 = 609,792 : x
  2. Step 2: Convert to fraction form
    290,208/609,792 = 609,792/x
  3. Step 3: Cross multiply
    290,208x = 609,792 × 609,792
  4. Step 4: Simplify right side
    290,208x = 371,846,283,264
  5. Step 5: Solve for x
    x = 371,846,283,264/290,208
  6. Step 6: Final answer
    x = 1,281,309.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.