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Finding the Third Proportional to 78,316,696 and 165,969,384.50

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Solution

The third proportional to 78,316,696 and 165,969,384.50 is: 351,723,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,696 : 165,969,384.50 = 165,969,384.50 : x
  2. Step 2: Convert to fraction form
    78,316,696/165,969,384.50 = 165,969,384.50/x
  3. Step 3: Cross multiply
    78,316,696x = 165,969,384.50 × 165,969,384.50
  4. Step 4: Simplify right side
    78,316,696x = 27,545,836,591,308,840
  5. Step 5: Solve for x
    x = 27,545,836,591,308,840/78,316,696
  6. Step 6: Final answer
    x = 351,723,680.88

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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.