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Finding the Third Proportional to 316,968 and 492,380

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Solution

The third proportional to 316,968 and 492,380 is: 764,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,968 : 492,380 = 492,380 : x
  2. Step 2: Convert to fraction form
    316,968/492,380 = 492,380/x
  3. Step 3: Cross multiply
    316,968x = 492,380 × 492,380
  4. Step 4: Simplify right side
    316,968x = 242,438,064,400
  5. Step 5: Solve for x
    x = 242,438,064,400/316,968
  6. Step 6: Final answer
    x = 764,866.06

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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.