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Finding the Third Proportional to 343,148 and 495,040

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Solution

The third proportional to 343,148 and 495,040 is: 714,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,148 : 495,040 = 495,040 : x
  2. Step 2: Convert to fraction form
    343,148/495,040 = 495,040/x
  3. Step 3: Cross multiply
    343,148x = 495,040 × 495,040
  4. Step 4: Simplify right side
    343,148x = 245,064,601,600
  5. Step 5: Solve for x
    x = 245,064,601,600/343,148
  6. Step 6: Final answer
    x = 714,165.90

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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.