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Finding the Third Proportional to 343,620 and 505,125

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Solution

The third proportional to 343,620 and 505,125 is: 742,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,620 : 505,125 = 505,125 : x
  2. Step 2: Convert to fraction form
    343,620/505,125 = 505,125/x
  3. Step 3: Cross multiply
    343,620x = 505,125 × 505,125
  4. Step 4: Simplify right side
    343,620x = 255,151,265,625
  5. Step 5: Solve for x
    x = 255,151,265,625/343,620
  6. Step 6: Final answer
    x = 742,539.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.