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Finding the Third Proportional to 340,758 and 495,280

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Solution

The third proportional to 340,758 and 495,280 is: 719,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,758 : 495,280 = 495,280 : x
  2. Step 2: Convert to fraction form
    340,758/495,280 = 495,280/x
  3. Step 3: Cross multiply
    340,758x = 495,280 × 495,280
  4. Step 4: Simplify right side
    340,758x = 245,302,278,400
  5. Step 5: Solve for x
    x = 245,302,278,400/340,758
  6. Step 6: Final answer
    x = 719,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.