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Finding the Third Proportional to 123,463,353 and 189,463,837.50

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Solution

The third proportional to 123,463,353 and 189,463,837.50 is: 290,746,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,463,353 : 189,463,837.50 = 189,463,837.50 : x
  2. Step 2: Convert to fraction form
    123,463,353/189,463,837.50 = 189,463,837.50/x
  3. Step 3: Cross multiply
    123,463,353x = 189,463,837.50 × 189,463,837.50
  4. Step 4: Simplify right side
    123,463,353x = 35,896,545,720,226,408
  5. Step 5: Solve for x
    x = 35,896,545,720,226,408/123,463,353
  6. Step 6: Final answer
    x = 290,746,564.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.