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Finding the Third Proportional to 72,382,916 and 157,771,912

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Solution

The third proportional to 72,382,916 and 157,771,912 is: 343,892,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382,916 : 157,771,912 = 157,771,912 : x
  2. Step 2: Convert to fraction form
    72,382,916/157,771,912 = 157,771,912/x
  3. Step 3: Cross multiply
    72,382,916x = 157,771,912 × 157,771,912
  4. Step 4: Simplify right side
    72,382,916x = 24,891,976,216,135,744
  5. Step 5: Solve for x
    x = 24,891,976,216,135,744/72,382,916
  6. Step 6: Final answer
    x = 343,892,973.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.