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Finding the Third Proportional to 290,873 and 606,654

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Solution

The third proportional to 290,873 and 606,654 is: 1,265,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,873 : 606,654 = 606,654 : x
  2. Step 2: Convert to fraction form
    290,873/606,654 = 606,654/x
  3. Step 3: Cross multiply
    290,873x = 606,654 × 606,654
  4. Step 4: Simplify right side
    290,873x = 368,029,075,716
  5. Step 5: Solve for x
    x = 368,029,075,716/290,873
  6. Step 6: Final answer
    x = 1,265,256.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.