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Finding the Third Proportional to 405,981 and 618,529.50

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Solution

The third proportional to 405,981 and 618,529.50 is: 942,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,981 : 618,529.50 = 618,529.50 : x
  2. Step 2: Convert to fraction form
    405,981/618,529.50 = 618,529.50/x
  3. Step 3: Cross multiply
    405,981x = 618,529.50 × 618,529.50
  4. Step 4: Simplify right side
    405,981x = 382,578,742,370.25
  5. Step 5: Solve for x
    x = 382,578,742,370.25/405,981
  6. Step 6: Final answer
    x = 942,356.27

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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.