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Finding the Third Proportional to 7,678,830 and 16,528,272

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Solution

The third proportional to 7,678,830 and 16,528,272 is: 35,576,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,830 : 16,528,272 = 16,528,272 : x
  2. Step 2: Convert to fraction form
    7,678,830/16,528,272 = 16,528,272/x
  3. Step 3: Cross multiply
    7,678,830x = 16,528,272 × 16,528,272
  4. Step 4: Simplify right side
    7,678,830x = 273,183,775,305,984
  5. Step 5: Solve for x
    x = 273,183,775,305,984/7,678,830
  6. Step 6: Final answer
    x = 35,576,223.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.