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Finding the Third Proportional to 115,400,751 and 243,678,558

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Solution

The third proportional to 115,400,751 and 243,678,558 is: 514,548,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400,751 : 243,678,558 = 243,678,558 : x
  2. Step 2: Convert to fraction form
    115,400,751/243,678,558 = 243,678,558/x
  3. Step 3: Cross multiply
    115,400,751x = 243,678,558 × 243,678,558
  4. Step 4: Simplify right side
    115,400,751x = 59,379,239,628,959,360
  5. Step 5: Solve for x
    x = 59,379,239,628,959,360/115,400,751
  6. Step 6: Final answer
    x = 514,548,121.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.