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Finding the Third Proportional to 319,072 and 495,440

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Solution

The third proportional to 319,072 and 495,440 is: 769,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,072 : 495,440 = 495,440 : x
  2. Step 2: Convert to fraction form
    319,072/495,440 = 495,440/x
  3. Step 3: Cross multiply
    319,072x = 495,440 × 495,440
  4. Step 4: Simplify right side
    319,072x = 245,460,793,600
  5. Step 5: Solve for x
    x = 245,460,793,600/319,072
  6. Step 6: Final answer
    x = 769,295.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.