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Finding the Third Proportional to 290,340 and 607,288

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Solution

The third proportional to 290,340 and 607,288 is: 1,270,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,340 : 607,288 = 607,288 : x
  2. Step 2: Convert to fraction form
    290,340/607,288 = 607,288/x
  3. Step 3: Cross multiply
    290,340x = 607,288 × 607,288
  4. Step 4: Simplify right side
    290,340x = 368,798,714,944
  5. Step 5: Solve for x
    x = 368,798,714,944/290,340
  6. Step 6: Final answer
    x = 1,270,230.47

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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.