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Finding the Third Proportional to 123,734,311.50 and 268,750,280.25

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Solution

The third proportional to 123,734,311.50 and 268,750,280.25 is: 583,724,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,734,311.50 : 268,750,280.25 = 268,750,280.25 : x
  2. Step 2: Convert to fraction form
    123,734,311.50/268,750,280.25 = 268,750,280.25/x
  3. Step 3: Cross multiply
    123,734,311.50x = 268,750,280.25 × 268,750,280.25
  4. Step 4: Simplify right side
    123,734,311.50x = 72,226,713,134,453,536
  5. Step 5: Solve for x
    x = 72,226,713,134,453,536/123,734,311.50
  6. Step 6: Final answer
    x = 583,724,209.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.