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Finding the Third Proportional to 318,184,620.61 and 684,997,758.21

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Solution

The third proportional to 318,184,620.61 and 684,997,758.21 is: 1,474,684,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,184,620.61 : 684,997,758.21 = 684,997,758.21 : x
  2. Step 2: Convert to fraction form
    318,184,620.61/684,997,758.21 = 684,997,758.21/x
  3. Step 3: Cross multiply
    318,184,620.61x = 684,997,758.21 × 684,997,758.21
  4. Step 4: Simplify right side
    318,184,620.61x = 469,221,928,754,027,136
  5. Step 5: Solve for x
    x = 469,221,928,754,027,136/318,184,620.61
  6. Step 6: Final answer
    x = 1,474,684,501.90

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Why These Related Problems?

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