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Finding the Third Proportional to 112,316 and 169,640

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Solution

The third proportional to 112,316 and 169,640 is: 256,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,316 : 169,640 = 169,640 : x
  2. Step 2: Convert to fraction form
    112,316/169,640 = 169,640/x
  3. Step 3: Cross multiply
    112,316x = 169,640 × 169,640
  4. Step 4: Simplify right side
    112,316x = 28,777,729,600
  5. Step 5: Solve for x
    x = 28,777,729,600/112,316
  6. Step 6: Final answer
    x = 256,221.10

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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.