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Finding the Third Proportional to 290,619 and 390,546

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Solution

The third proportional to 290,619 and 390,546 is: 524,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,619 : 390,546 = 390,546 : x
  2. Step 2: Convert to fraction form
    290,619/390,546 = 390,546/x
  3. Step 3: Cross multiply
    290,619x = 390,546 × 390,546
  4. Step 4: Simplify right side
    290,619x = 152,526,178,116
  5. Step 5: Solve for x
    x = 152,526,178,116/290,619
  6. Step 6: Final answer
    x = 524,832.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.