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Finding the Third Proportional to 310,986 and 495,081

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Solution

The third proportional to 310,986 and 495,081 is: 788,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,986 : 495,081 = 495,081 : x
  2. Step 2: Convert to fraction form
    310,986/495,081 = 495,081/x
  3. Step 3: Cross multiply
    310,986x = 495,081 × 495,081
  4. Step 4: Simplify right side
    310,986x = 245,105,196,561
  5. Step 5: Solve for x
    x = 245,105,196,561/310,986
  6. Step 6: Final answer
    x = 788,155.08

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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.