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Finding the Third Proportional to 71,280 and 106,752

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Solution

The third proportional to 71,280 and 106,752 is: 159,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 106,752 = 106,752 : x
  2. Step 2: Convert to fraction form
    71,280/106,752 = 106,752/x
  3. Step 3: Cross multiply
    71,280x = 106,752 × 106,752
  4. Step 4: Simplify right side
    71,280x = 11,395,989,504
  5. Step 5: Solve for x
    x = 11,395,989,504/71,280
  6. Step 6: Final answer
    x = 159,876.40

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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.