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Finding the Third Proportional to 180,503,750 and 279,035,785

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Solution

The third proportional to 180,503,750 and 279,035,785 is: 431,353,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,503,750 : 279,035,785 = 279,035,785 : x
  2. Step 2: Convert to fraction form
    180,503,750/279,035,785 = 279,035,785/x
  3. Step 3: Cross multiply
    180,503,750x = 279,035,785 × 279,035,785
  4. Step 4: Simplify right side
    180,503,750x = 77,860,969,310,566,224
  5. Step 5: Solve for x
    x = 77,860,969,310,566,224/180,503,750
  6. Step 6: Final answer
    x = 431,353,749.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.