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Finding the Third Proportional to 85,538,453 and 123,588,319.50

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Solution

The third proportional to 85,538,453 and 123,588,319.50 is: 178,563,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,538,453 : 123,588,319.50 = 123,588,319.50 : x
  2. Step 2: Convert to fraction form
    85,538,453/123,588,319.50 = 123,588,319.50/x
  3. Step 3: Cross multiply
    85,538,453x = 123,588,319.50 × 123,588,319.50
  4. Step 4: Simplify right side
    85,538,453x = 15,274,072,716,834,080
  5. Step 5: Solve for x
    x = 15,274,072,716,834,080/85,538,453
  6. Step 6: Final answer
    x = 178,563,817.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.