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Finding the Third Proportional to 405,740 and 608,686

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Solution

The third proportional to 405,740 and 608,686 is: 913,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,740 : 608,686 = 608,686 : x
  2. Step 2: Convert to fraction form
    405,740/608,686 = 608,686/x
  3. Step 3: Cross multiply
    405,740x = 608,686 × 608,686
  4. Step 4: Simplify right side
    405,740x = 370,498,646,596
  5. Step 5: Solve for x
    x = 370,498,646,596/405,740
  6. Step 6: Final answer
    x = 913,143.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.