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Finding the Third Proportional to 78,039,921 and 171,529,048.50

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Solution

The third proportional to 78,039,921 and 171,529,048.50 is: 377,014,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039,921 : 171,529,048.50 = 171,529,048.50 : x
  2. Step 2: Convert to fraction form
    78,039,921/171,529,048.50 = 171,529,048.50/x
  3. Step 3: Cross multiply
    78,039,921x = 171,529,048.50 × 171,529,048.50
  4. Step 4: Simplify right side
    78,039,921x = 29,422,214,479,315,352
  5. Step 5: Solve for x
    x = 29,422,214,479,315,352/78,039,921
  6. Step 6: Final answer
    x = 377,014,918.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.