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Finding the Third Proportional to 316,640 and 492,054

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Solution

The third proportional to 316,640 and 492,054 is: 764,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,640 : 492,054 = 492,054 : x
  2. Step 2: Convert to fraction form
    316,640/492,054 = 492,054/x
  3. Step 3: Cross multiply
    316,640x = 492,054 × 492,054
  4. Step 4: Simplify right side
    316,640x = 242,117,138,916
  5. Step 5: Solve for x
    x = 242,117,138,916/316,640
  6. Step 6: Final answer
    x = 764,644.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.