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Finding the Third Proportional to 78,316,695 and 165,969,382.50

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Solution

The third proportional to 78,316,695 and 165,969,382.50 is: 351,723,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,695 : 165,969,382.50 = 165,969,382.50 : x
  2. Step 2: Convert to fraction form
    78,316,695/165,969,382.50 = 165,969,382.50/x
  3. Step 3: Cross multiply
    78,316,695x = 165,969,382.50 × 165,969,382.50
  4. Step 4: Simplify right side
    78,316,695x = 27,545,835,927,431,308
  5. Step 5: Solve for x
    x = 27,545,835,927,431,308/78,316,695
  6. Step 6: Final answer
    x = 351,723,676.89

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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.