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Finding the Third Proportional to 74,411.50 and 106,367

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Solution

The third proportional to 74,411.50 and 106,367 is: 152,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,411.50 : 106,367 = 106,367 : x
  2. Step 2: Convert to fraction form
    74,411.50/106,367 = 106,367/x
  3. Step 3: Cross multiply
    74,411.50x = 106,367 × 106,367
  4. Step 4: Simplify right side
    74,411.50x = 11,313,938,689
  5. Step 5: Solve for x
    x = 11,313,938,689/74,411.50
  6. Step 6: Final answer
    x = 152,045.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.