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Finding the Third Proportional to 155,212,245 and 243,482,544

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Solution

The third proportional to 155,212,245 and 243,482,544 is: 381,952,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,212,245 : 243,482,544 = 243,482,544 : x
  2. Step 2: Convert to fraction form
    155,212,245/243,482,544 = 243,482,544/x
  3. Step 3: Cross multiply
    155,212,245x = 243,482,544 × 243,482,544
  4. Step 4: Simplify right side
    155,212,245x = 59,283,749,232,711,936
  5. Step 5: Solve for x
    x = 59,283,749,232,711,936/155,212,245
  6. Step 6: Final answer
    x = 381,952,784.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.