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Finding the Third Proportional to 319,440 and 495,306

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Solution

The third proportional to 319,440 and 495,306 is: 767,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,440 : 495,306 = 495,306 : x
  2. Step 2: Convert to fraction form
    319,440/495,306 = 495,306/x
  3. Step 3: Cross multiply
    319,440x = 495,306 × 495,306
  4. Step 4: Simplify right side
    319,440x = 245,328,033,636
  5. Step 5: Solve for x
    x = 245,328,033,636/319,440
  6. Step 6: Final answer
    x = 767,994.09

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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.