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Finding the Third Proportional to 290,808 and 607,968

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Solution

The third proportional to 290,808 and 607,968 is: 1,271,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,808 : 607,968 = 607,968 : x
  2. Step 2: Convert to fraction form
    290,808/607,968 = 607,968/x
  3. Step 3: Cross multiply
    290,808x = 607,968 × 607,968
  4. Step 4: Simplify right side
    290,808x = 369,625,089,024
  5. Step 5: Solve for x
    x = 369,625,089,024/290,808
  6. Step 6: Final answer
    x = 1,271,027.93

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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.