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Finding the Third Proportional to 85,538,460.75 and 123,588,331.13

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Solution

The third proportional to 85,538,460.75 and 123,588,331.13 is: 178,563,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,538,460.75 : 123,588,331.13 = 123,588,331.13 : x
  2. Step 2: Convert to fraction form
    85,538,460.75/123,588,331.13 = 123,588,331.13/x
  3. Step 3: Cross multiply
    85,538,460.75x = 123,588,331.13 × 123,588,331.13
  4. Step 4: Simplify right side
    85,538,460.75x = 15,274,075,590,262,644
  5. Step 5: Solve for x
    x = 15,274,075,590,262,644/85,538,460.75
  6. Step 6: Final answer
    x = 178,563,834.99

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