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Finding the Third Proportional to 319,040 and 495,392

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Solution

The third proportional to 319,040 and 495,392 is: 769,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,040 : 495,392 = 495,392 : x
  2. Step 2: Convert to fraction form
    319,040/495,392 = 495,392/x
  3. Step 3: Cross multiply
    319,040x = 495,392 × 495,392
  4. Step 4: Simplify right side
    319,040x = 245,413,233,664
  5. Step 5: Solve for x
    x = 245,413,233,664/319,040
  6. Step 6: Final answer
    x = 769,224.03

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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.