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Finding the Third Proportional to 74,640 and 112,032

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Solution

The third proportional to 74,640 and 112,032 is: 168,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,640 : 112,032 = 112,032 : x
  2. Step 2: Convert to fraction form
    74,640/112,032 = 112,032/x
  3. Step 3: Cross multiply
    74,640x = 112,032 × 112,032
  4. Step 4: Simplify right side
    74,640x = 12,551,169,024
  5. Step 5: Solve for x
    x = 12,551,169,024/74,640
  6. Step 6: Final answer
    x = 168,156.07

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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.