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Finding the Third Proportional to 155,515.50 and 418,930.50

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Solution

The third proportional to 155,515.50 and 418,930.50 is: 1,128,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,515.50 : 418,930.50 = 418,930.50 : x
  2. Step 2: Convert to fraction form
    155,515.50/418,930.50 = 418,930.50/x
  3. Step 3: Cross multiply
    155,515.50x = 418,930.50 × 418,930.50
  4. Step 4: Simplify right side
    155,515.50x = 175,502,763,830.25
  5. Step 5: Solve for x
    x = 175,502,763,830.25/155,515.50
  6. Step 6: Final answer
    x = 1,128,522.65

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.