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Finding the Third Proportional to 155,355.47 and 340,364.53

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Solution

The third proportional to 155,355.47 and 340,364.53 is: 745,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,355.47 : 340,364.53 = 340,364.53 : x
  2. Step 2: Convert to fraction form
    155,355.47/340,364.53 = 340,364.53/x
  3. Step 3: Cross multiply
    155,355.47x = 340,364.53 × 340,364.53
  4. Step 4: Simplify right side
    155,355.47x = 115,848,014,133.03
  5. Step 5: Solve for x
    x = 115,848,014,133.03/155,355.47
  6. Step 6: Final answer
    x = 745,696.40

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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.