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Finding the Third Proportional to 81,139,784 and 180,421,264

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Solution

The third proportional to 81,139,784 and 180,421,264 is: 401,182,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,139,784 : 180,421,264 = 180,421,264 : x
  2. Step 2: Convert to fraction form
    81,139,784/180,421,264 = 180,421,264/x
  3. Step 3: Cross multiply
    81,139,784x = 180,421,264 × 180,421,264
  4. Step 4: Simplify right side
    81,139,784x = 32,551,832,503,357,696
  5. Step 5: Solve for x
    x = 32,551,832,503,357,696/81,139,784
  6. Step 6: Final answer
    x = 401,182,143.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.