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Finding the Third Proportional to 405,938.25 and 618,482.25

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Solution

The third proportional to 405,938.25 and 618,482.25 is: 942,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,938.25 : 618,482.25 = 618,482.25 : x
  2. Step 2: Convert to fraction form
    405,938.25/618,482.25 = 618,482.25/x
  3. Step 3: Cross multiply
    405,938.25x = 618,482.25 × 618,482.25
  4. Step 4: Simplify right side
    405,938.25x = 382,520,293,565.06
  5. Step 5: Solve for x
    x = 382,520,293,565.06/405,938.25
  6. Step 6: Final answer
    x = 942,311.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.