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Finding the Third Proportional to 310,992 and 495,090

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Solution

The third proportional to 310,992 and 495,090 is: 788,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,992 : 495,090 = 495,090 : x
  2. Step 2: Convert to fraction form
    310,992/495,090 = 495,090/x
  3. Step 3: Cross multiply
    310,992x = 495,090 × 495,090
  4. Step 4: Simplify right side
    310,992x = 245,114,108,100
  5. Step 5: Solve for x
    x = 245,114,108,100/310,992
  6. Step 6: Final answer
    x = 788,168.53

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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.