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Finding the Third Proportional to 405,939.75 and 618,484.50

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Solution

The third proportional to 405,939.75 and 618,484.50 is: 942,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,939.75 : 618,484.50 = 618,484.50 : x
  2. Step 2: Convert to fraction form
    405,939.75/618,484.50 = 618,484.50/x
  3. Step 3: Cross multiply
    405,939.75x = 618,484.50 × 618,484.50
  4. Step 4: Simplify right side
    405,939.75x = 382,523,076,740.25
  5. Step 5: Solve for x
    x = 382,523,076,740.25/405,939.75
  6. Step 6: Final answer
    x = 942,314.90

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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.