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Finding the Third Proportional to 139,075 and 304,394

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Solution

The third proportional to 139,075 and 304,394 is: 666,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,075 : 304,394 = 304,394 : x
  2. Step 2: Convert to fraction form
    139,075/304,394 = 304,394/x
  3. Step 3: Cross multiply
    139,075x = 304,394 × 304,394
  4. Step 4: Simplify right side
    139,075x = 92,655,707,236
  5. Step 5: Solve for x
    x = 92,655,707,236/139,075
  6. Step 6: Final answer
    x = 666,228.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.