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Finding the Third Proportional to 36,463,590 and 78,980,800.50

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Solution

The third proportional to 36,463,590 and 78,980,800.50 is: 171,073,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463,590 : 78,980,800.50 = 78,980,800.50 : x
  2. Step 2: Convert to fraction form
    36,463,590/78,980,800.50 = 78,980,800.50/x
  3. Step 3: Cross multiply
    36,463,590x = 78,980,800.50 × 78,980,800.50
  4. Step 4: Simplify right side
    36,463,590x = 6,237,966,847,620,800
  5. Step 5: Solve for x
    x = 6,237,966,847,620,800/36,463,590
  6. Step 6: Final answer
    x = 171,073,853.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.