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Finding the Third Proportional to 390,054.75 and 618,905.25

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Solution

The third proportional to 390,054.75 and 618,905.25 is: 982,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,054.75 : 618,905.25 = 618,905.25 : x
  2. Step 2: Convert to fraction form
    390,054.75/618,905.25 = 618,905.25/x
  3. Step 3: Cross multiply
    390,054.75x = 618,905.25 × 618,905.25
  4. Step 4: Simplify right side
    390,054.75x = 383,043,708,477.56
  5. Step 5: Solve for x
    x = 383,043,708,477.56/390,054.75
  6. Step 6: Final answer
    x = 982,025.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.