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Finding the Third Proportional to 7,881,304 and 16,978,411

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Solution

The third proportional to 7,881,304 and 16,978,411 is: 36,575,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,304 : 16,978,411 = 16,978,411 : x
  2. Step 2: Convert to fraction form
    7,881,304/16,978,411 = 16,978,411/x
  3. Step 3: Cross multiply
    7,881,304x = 16,978,411 × 16,978,411
  4. Step 4: Simplify right side
    7,881,304x = 288,266,440,084,921
  5. Step 5: Solve for x
    x = 288,266,440,084,921/7,881,304
  6. Step 6: Final answer
    x = 36,575,982.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.