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Finding the Third Proportional to 968,984,140.50 and 1,503,300,633.75

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Solution

The third proportional to 968,984,140.50 and 1,503,300,633.75 is: 2,332,249,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,984,140.50 : 1,503,300,633.75 = 1,503,300,633.75 : x
  2. Step 2: Convert to fraction form
    968,984,140.50/1,503,300,633.75 = 1,503,300,633.75/x
  3. Step 3: Cross multiply
    968,984,140.50x = 1,503,300,633.75 × 1,503,300,633.75
  4. Step 4: Simplify right side
    968,984,140.50x = 2,259,912,795,433,151,744
  5. Step 5: Solve for x
    x = 2,259,912,795,433,151,744/968,984,140.50
  6. Step 6: Final answer
    x = 2,332,249,518.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.