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Finding the Third Proportional to 122,656 and 286,632

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Solution

The third proportional to 122,656 and 286,632 is: 669,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,656 : 286,632 = 286,632 : x
  2. Step 2: Convert to fraction form
    122,656/286,632 = 286,632/x
  3. Step 3: Cross multiply
    122,656x = 286,632 × 286,632
  4. Step 4: Simplify right side
    122,656x = 82,157,903,424
  5. Step 5: Solve for x
    x = 82,157,903,424/122,656
  6. Step 6: Final answer
    x = 669,823.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.