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Finding the Third Proportional to 343,152 and 495,039

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Solution

The third proportional to 343,152 and 495,039 is: 714,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,152 : 495,039 = 495,039 : x
  2. Step 2: Convert to fraction form
    343,152/495,039 = 495,039/x
  3. Step 3: Cross multiply
    343,152x = 495,039 × 495,039
  4. Step 4: Simplify right side
    343,152x = 245,063,611,521
  5. Step 5: Solve for x
    x = 245,063,611,521/343,152
  6. Step 6: Final answer
    x = 714,154.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.