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Finding the Third Proportional to 86,203,044 and 129,178,469

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Solution

The third proportional to 86,203,044 and 129,178,469 is: 193,578,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,203,044 : 129,178,469 = 129,178,469 : x
  2. Step 2: Convert to fraction form
    86,203,044/129,178,469 = 129,178,469/x
  3. Step 3: Cross multiply
    86,203,044x = 129,178,469 × 129,178,469
  4. Step 4: Simplify right side
    86,203,044x = 16,687,076,853,183,960
  5. Step 5: Solve for x
    x = 16,687,076,853,183,960/86,203,044
  6. Step 6: Final answer
    x = 193,578,742.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.