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Finding the Third Proportional to 52,424,186 and 114,052,347

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Solution

The third proportional to 52,424,186 and 114,052,347 is: 248,128,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424,186 : 114,052,347 = 114,052,347 : x
  2. Step 2: Convert to fraction form
    52,424,186/114,052,347 = 114,052,347/x
  3. Step 3: Cross multiply
    52,424,186x = 114,052,347 × 114,052,347
  4. Step 4: Simplify right side
    52,424,186x = 13,007,937,856,208,408
  5. Step 5: Solve for x
    x = 13,007,937,856,208,408/52,424,186
  6. Step 6: Final answer
    x = 248,128,561.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.