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Finding the Third Proportional to 155,708 and 340,495

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Solution

The third proportional to 155,708 and 340,495 is: 744,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,708 : 340,495 = 340,495 : x
  2. Step 2: Convert to fraction form
    155,708/340,495 = 340,495/x
  3. Step 3: Cross multiply
    155,708x = 340,495 × 340,495
  4. Step 4: Simplify right side
    155,708x = 115,936,845,025
  5. Step 5: Solve for x
    x = 115,936,845,025/155,708
  6. Step 6: Final answer
    x = 744,578.60

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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.