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Finding the Third Proportional to 390,003 and 838,215.75

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Solution

The third proportional to 390,003 and 838,215.75 is: 1,801,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,003 : 838,215.75 = 838,215.75 : x
  2. Step 2: Convert to fraction form
    390,003/838,215.75 = 838,215.75/x
  3. Step 3: Cross multiply
    390,003x = 838,215.75 × 838,215.75
  4. Step 4: Simplify right side
    390,003x = 702,605,643,548.06
  5. Step 5: Solve for x
    x = 702,605,643,548.06/390,003
  6. Step 6: Final answer
    x = 1,801,539.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.