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Finding the Third Proportional to 339,000 and 460,405.50

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Solution

The third proportional to 339,000 and 460,405.50 is: 625,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,000 : 460,405.50 = 460,405.50 : x
  2. Step 2: Convert to fraction form
    339,000/460,405.50 = 460,405.50/x
  3. Step 3: Cross multiply
    339,000x = 460,405.50 × 460,405.50
  4. Step 4: Simplify right side
    339,000x = 211,973,224,430.25
  5. Step 5: Solve for x
    x = 211,973,224,430.25/339,000
  6. Step 6: Final answer
    x = 625,289.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.