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Finding the Third Proportional to 74,198,844 and 102,528,774

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Solution

The third proportional to 74,198,844 and 102,528,774 is: 141,675,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,198,844 : 102,528,774 = 102,528,774 : x
  2. Step 2: Convert to fraction form
    74,198,844/102,528,774 = 102,528,774/x
  3. Step 3: Cross multiply
    74,198,844x = 102,528,774 × 102,528,774
  4. Step 4: Simplify right side
    74,198,844x = 10,512,149,497,943,076
  5. Step 5: Solve for x
    x = 10,512,149,497,943,076/74,198,844
  6. Step 6: Final answer
    x = 141,675,381.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.