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Finding the Third Proportional to 357,885 and 505,710

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Solution

The third proportional to 357,885 and 505,710 is: 714,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,885 : 505,710 = 505,710 : x
  2. Step 2: Convert to fraction form
    357,885/505,710 = 505,710/x
  3. Step 3: Cross multiply
    357,885x = 505,710 × 505,710
  4. Step 4: Simplify right side
    357,885x = 255,742,604,100
  5. Step 5: Solve for x
    x = 255,742,604,100/357,885
  6. Step 6: Final answer
    x = 714,594.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.