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Finding the Third Proportional to 78,316,713 and 165,969,418.50

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Solution

The third proportional to 78,316,713 and 165,969,418.50 is: 351,723,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,713 : 165,969,418.50 = 165,969,418.50 : x
  2. Step 2: Convert to fraction form
    78,316,713/165,969,418.50 = 165,969,418.50/x
  3. Step 3: Cross multiply
    78,316,713x = 165,969,418.50 × 165,969,418.50
  4. Step 4: Simplify right side
    78,316,713x = 27,545,847,877,228,144
  5. Step 5: Solve for x
    x = 27,545,847,877,228,144/78,316,713
  6. Step 6: Final answer
    x = 351,723,748.64

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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.