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Finding the Third Proportional to 350,190 and 509,976

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Solution

The third proportional to 350,190 and 509,976 is: 742,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,190 : 509,976 = 509,976 : x
  2. Step 2: Convert to fraction form
    350,190/509,976 = 509,976/x
  3. Step 3: Cross multiply
    350,190x = 509,976 × 509,976
  4. Step 4: Simplify right side
    350,190x = 260,075,520,576
  5. Step 5: Solve for x
    x = 260,075,520,576/350,190
  6. Step 6: Final answer
    x = 742,669.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.