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Finding the Third Proportional to 219,989 and 340,075

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Solution

The third proportional to 219,989 and 340,075 is: 525,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,989 : 340,075 = 340,075 : x
  2. Step 2: Convert to fraction form
    219,989/340,075 = 340,075/x
  3. Step 3: Cross multiply
    219,989x = 340,075 × 340,075
  4. Step 4: Simplify right side
    219,989x = 115,651,005,625
  5. Step 5: Solve for x
    x = 115,651,005,625/219,989
  6. Step 6: Final answer
    x = 525,712.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.