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Finding the Third Proportional to 310,430 and 492,375

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Solution

The third proportional to 310,430 and 492,375 is: 780,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,430 : 492,375 = 492,375 : x
  2. Step 2: Convert to fraction form
    310,430/492,375 = 492,375/x
  3. Step 3: Cross multiply
    310,430x = 492,375 × 492,375
  4. Step 4: Simplify right side
    310,430x = 242,433,140,625
  5. Step 5: Solve for x
    x = 242,433,140,625/310,430
  6. Step 6: Final answer
    x = 780,959.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.