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Finding the Third Proportional to 72,683,621 and 159,489,640

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Solution

The third proportional to 72,683,621 and 159,489,640 is: 349,968,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,683,621 : 159,489,640 = 159,489,640 : x
  2. Step 2: Convert to fraction form
    72,683,621/159,489,640 = 159,489,640/x
  3. Step 3: Cross multiply
    72,683,621x = 159,489,640 × 159,489,640
  4. Step 4: Simplify right side
    72,683,621x = 25,436,945,267,329,600
  5. Step 5: Solve for x
    x = 25,436,945,267,329,600/72,683,621
  6. Step 6: Final answer
    x = 349,968,052.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.