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Finding the Third Proportional to 155,715 and 340,506

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Solution

The third proportional to 155,715 and 340,506 is: 744,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,715 : 340,506 = 340,506 : x
  2. Step 2: Convert to fraction form
    155,715/340,506 = 340,506/x
  3. Step 3: Cross multiply
    155,715x = 340,506 × 340,506
  4. Step 4: Simplify right side
    155,715x = 115,944,336,036
  5. Step 5: Solve for x
    x = 115,944,336,036/155,715
  6. Step 6: Final answer
    x = 744,593.24

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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.