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Finding the Third Proportional to 36,284,385 and 78,340,830

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Solution

The third proportional to 36,284,385 and 78,340,830 is: 169,143,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284,385 : 78,340,830 = 78,340,830 : x
  2. Step 2: Convert to fraction form
    36,284,385/78,340,830 = 78,340,830/x
  3. Step 3: Cross multiply
    36,284,385x = 78,340,830 × 78,340,830
  4. Step 4: Simplify right side
    36,284,385x = 6,137,285,645,088,900
  5. Step 5: Solve for x
    x = 6,137,285,645,088,900/36,284,385
  6. Step 6: Final answer
    x = 169,143,989.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.