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Finding the Third Proportional to 155,490 and 326,647

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Solution

The third proportional to 155,490 and 326,647 is: 686,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,490 : 326,647 = 326,647 : x
  2. Step 2: Convert to fraction form
    155,490/326,647 = 326,647/x
  3. Step 3: Cross multiply
    155,490x = 326,647 × 326,647
  4. Step 4: Simplify right side
    155,490x = 106,698,262,609
  5. Step 5: Solve for x
    x = 106,698,262,609/155,490
  6. Step 6: Final answer
    x = 686,206.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.