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Finding the Third Proportional to 405,946 and 618,494

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Solution

The third proportional to 405,946 and 618,494 is: 942,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,946 : 618,494 = 618,494 : x
  2. Step 2: Convert to fraction form
    405,946/618,494 = 618,494/x
  3. Step 3: Cross multiply
    405,946x = 618,494 × 618,494
  4. Step 4: Simplify right side
    405,946x = 382,534,828,036
  5. Step 5: Solve for x
    x = 382,534,828,036/405,946
  6. Step 6: Final answer
    x = 942,329.34

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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.