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Finding the Third Proportional to 78,316,728 and 165,969,444

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Solution

The third proportional to 78,316,728 and 165,969,444 is: 351,723,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,728 : 165,969,444 = 165,969,444 : x
  2. Step 2: Convert to fraction form
    78,316,728/165,969,444 = 165,969,444/x
  3. Step 3: Cross multiply
    78,316,728x = 165,969,444 × 165,969,444
  4. Step 4: Simplify right side
    78,316,728x = 27,545,856,341,669,136
  5. Step 5: Solve for x
    x = 27,545,856,341,669,136/78,316,728
  6. Step 6: Final answer
    x = 351,723,789.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.