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Finding the Third Proportional to 155,040 and 316,660

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Solution

The third proportional to 155,040 and 316,660 is: 646,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,040 : 316,660 = 316,660 : x
  2. Step 2: Convert to fraction form
    155,040/316,660 = 316,660/x
  3. Step 3: Cross multiply
    155,040x = 316,660 × 316,660
  4. Step 4: Simplify right side
    155,040x = 100,273,555,600
  5. Step 5: Solve for x
    x = 100,273,555,600/155,040
  6. Step 6: Final answer
    x = 646,759.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.