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Finding the Third Proportional to 405,931.50 and 618,466.50

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Solution

The third proportional to 405,931.50 and 618,466.50 is: 942,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,931.50 : 618,466.50 = 618,466.50 : x
  2. Step 2: Convert to fraction form
    405,931.50/618,466.50 = 618,466.50/x
  3. Step 3: Cross multiply
    405,931.50x = 618,466.50 × 618,466.50
  4. Step 4: Simplify right side
    405,931.50x = 382,500,811,622.25
  5. Step 5: Solve for x
    x = 382,500,811,622.25/405,931.50
  6. Step 6: Final answer
    x = 942,279.21

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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.