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Finding the Third Proportional to 7,758,660 and 16,860,280

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Solution

The third proportional to 7,758,660 and 16,860,280 is: 36,638,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,660 : 16,860,280 = 16,860,280 : x
  2. Step 2: Convert to fraction form
    7,758,660/16,860,280 = 16,860,280/x
  3. Step 3: Cross multiply
    7,758,660x = 16,860,280 × 16,860,280
  4. Step 4: Simplify right side
    7,758,660x = 284,269,041,678,400
  5. Step 5: Solve for x
    x = 284,269,041,678,400/7,758,660
  6. Step 6: Final answer
    x = 36,638,935.29

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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.