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Finding the Third Proportional to 155,709.84 and 340,511.34

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Solution

The third proportional to 155,709.84 and 340,511.34 is: 744,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,709.84 : 340,511.34 = 340,511.34 : x
  2. Step 2: Convert to fraction form
    155,709.84/340,511.34 = 340,511.34/x
  3. Step 3: Cross multiply
    155,709.84x = 340,511.34 × 340,511.34
  4. Step 4: Simplify right side
    155,709.84x = 115,947,975,222.43
  5. Step 5: Solve for x
    x = 115,947,975,222.43/155,709.84
  6. Step 6: Final answer
    x = 744,641.27

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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.