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Finding the Third Proportional to 204,600,411 and 438,311,862

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Solution

The third proportional to 204,600,411 and 438,311,862 is: 938,987,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,600,411 : 438,311,862 = 438,311,862 : x
  2. Step 2: Convert to fraction form
    204,600,411/438,311,862 = 438,311,862/x
  3. Step 3: Cross multiply
    204,600,411x = 438,311,862 × 438,311,862
  4. Step 4: Simplify right side
    204,600,411x = 192,117,288,369,907,040
  5. Step 5: Solve for x
    x = 192,117,288,369,907,040/204,600,411
  6. Step 6: Final answer
    x = 938,987,792.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.