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Finding the Third Proportional to 139,837,216 and 211,697,934

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Solution

The third proportional to 139,837,216 and 211,697,934 is: 320,487,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,837,216 : 211,697,934 = 211,697,934 : x
  2. Step 2: Convert to fraction form
    139,837,216/211,697,934 = 211,697,934/x
  3. Step 3: Cross multiply
    139,837,216x = 211,697,934 × 211,697,934
  4. Step 4: Simplify right side
    139,837,216x = 44,816,015,259,868,352
  5. Step 5: Solve for x
    x = 44,816,015,259,868,352/139,837,216
  6. Step 6: Final answer
    x = 320,487,038.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.