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Finding the Third Proportional to 379,614 and 571,905

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Solution

The third proportional to 379,614 and 571,905 is: 861,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,614 : 571,905 = 571,905 : x
  2. Step 2: Convert to fraction form
    379,614/571,905 = 571,905/x
  3. Step 3: Cross multiply
    379,614x = 571,905 × 571,905
  4. Step 4: Simplify right side
    379,614x = 327,075,329,025
  5. Step 5: Solve for x
    x = 327,075,329,025/379,614
  6. Step 6: Final answer
    x = 861,599.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.