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Finding the Third Proportional to 80,723,969 and 172,210,897

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Solution

The third proportional to 80,723,969 and 172,210,897 is: 367,382,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,723,969 : 172,210,897 = 172,210,897 : x
  2. Step 2: Convert to fraction form
    80,723,969/172,210,897 = 172,210,897/x
  3. Step 3: Cross multiply
    80,723,969x = 172,210,897 × 172,210,897
  4. Step 4: Simplify right side
    80,723,969x = 29,656,593,045,544,608
  5. Step 5: Solve for x
    x = 29,656,593,045,544,608/80,723,969
  6. Step 6: Final answer
    x = 367,382,741.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.