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Finding the Third Proportional to 78,379,447.50 and 166,103,176.50

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Solution

The third proportional to 78,379,447.50 and 166,103,176.50 is: 352,008,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379,447.50 : 166,103,176.50 = 166,103,176.50 : x
  2. Step 2: Convert to fraction form
    78,379,447.50/166,103,176.50 = 166,103,176.50/x
  3. Step 3: Cross multiply
    78,379,447.50x = 166,103,176.50 × 166,103,176.50
  4. Step 4: Simplify right side
    78,379,447.50x = 27,590,265,243,390,152
  5. Step 5: Solve for x
    x = 27,590,265,243,390,152/78,379,447.50
  6. Step 6: Final answer
    x = 352,008,927.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.