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Finding the Third Proportional to 682,304,215.50 and 975,028,522.50

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Solution

The third proportional to 682,304,215.50 and 975,028,522.50 is: 1,393,338,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,304,215.50 : 975,028,522.50 = 975,028,522.50 : x
  2. Step 2: Convert to fraction form
    682,304,215.50/975,028,522.50 = 975,028,522.50/x
  3. Step 3: Cross multiply
    682,304,215.50x = 975,028,522.50 × 975,028,522.50
  4. Step 4: Simplify right side
    682,304,215.50x = 950,680,619,688,532,992
  5. Step 5: Solve for x
    x = 950,680,619,688,532,992/682,304,215.50
  6. Step 6: Final answer
    x = 1,393,338,335.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.