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Finding the Third Proportional to 310,382 and 495,911

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Solution

The third proportional to 310,382 and 495,911 is: 792,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,382 : 495,911 = 495,911 : x
  2. Step 2: Convert to fraction form
    310,382/495,911 = 495,911/x
  3. Step 3: Cross multiply
    310,382x = 495,911 × 495,911
  4. Step 4: Simplify right side
    310,382x = 245,927,719,921
  5. Step 5: Solve for x
    x = 245,927,719,921/310,382
  6. Step 6: Final answer
    x = 792,338.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.