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Finding the Third Proportional to 471,389,643 and 1,111,196,270.25

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Solution

The third proportional to 471,389,643 and 1,111,196,270.25 is: 2,619,398,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,389,643 : 1,111,196,270.25 = 1,111,196,270.25 : x
  2. Step 2: Convert to fraction form
    471,389,643/1,111,196,270.25 = 1,111,196,270.25/x
  3. Step 3: Cross multiply
    471,389,643x = 1,111,196,270.25 × 1,111,196,270.25
  4. Step 4: Simplify right side
    471,389,643x = 1,234,757,151,017,510,912
  5. Step 5: Solve for x
    x = 1,234,757,151,017,510,912/471,389,643
  6. Step 6: Final answer
    x = 2,619,398,133.48

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.