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Finding the Third Proportional to 74,566 and 112,935

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Solution

The third proportional to 74,566 and 112,935 is: 171,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,566 : 112,935 = 112,935 : x
  2. Step 2: Convert to fraction form
    74,566/112,935 = 112,935/x
  3. Step 3: Cross multiply
    74,566x = 112,935 × 112,935
  4. Step 4: Simplify right side
    74,566x = 12,754,314,225
  5. Step 5: Solve for x
    x = 12,754,314,225/74,566
  6. Step 6: Final answer
    x = 171,047.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.