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Finding the Third Proportional to 290,452 and 607,040

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Solution

The third proportional to 290,452 and 607,040 is: 1,268,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,452 : 607,040 = 607,040 : x
  2. Step 2: Convert to fraction form
    290,452/607,040 = 607,040/x
  3. Step 3: Cross multiply
    290,452x = 607,040 × 607,040
  4. Step 4: Simplify right side
    290,452x = 368,497,561,600
  5. Step 5: Solve for x
    x = 368,497,561,600/290,452
  6. Step 6: Final answer
    x = 1,268,703.82

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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.