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Finding the Third Proportional to 212,667,849 and 318,646,981.50

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Solution

The third proportional to 212,667,849 and 318,646,981.50 is: 477,438,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,667,849 : 318,646,981.50 = 318,646,981.50 : x
  2. Step 2: Convert to fraction form
    212,667,849/318,646,981.50 = 318,646,981.50/x
  3. Step 3: Cross multiply
    212,667,849x = 318,646,981.50 × 318,646,981.50
  4. Step 4: Simplify right side
    212,667,849x = 101,535,898,819,061,344
  5. Step 5: Solve for x
    x = 101,535,898,819,061,344/212,667,849
  6. Step 6: Final answer
    x = 477,438,876.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.