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Finding the Third Proportional to 139,823,073 and 210,318,371

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Solution

The third proportional to 139,823,073 and 210,318,371 is: 316,355,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,823,073 : 210,318,371 = 210,318,371 : x
  2. Step 2: Convert to fraction form
    139,823,073/210,318,371 = 210,318,371/x
  3. Step 3: Cross multiply
    139,823,073x = 210,318,371 × 210,318,371
  4. Step 4: Simplify right side
    139,823,073x = 44,233,817,180,093,640
  5. Step 5: Solve for x
    x = 44,233,817,180,093,640/139,823,073
  6. Step 6: Final answer
    x = 316,355,635.95

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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.