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Finding the Third Proportional to 343,140 and 495,025

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Solution

The third proportional to 343,140 and 495,025 is: 714,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,140 : 495,025 = 495,025 : x
  2. Step 2: Convert to fraction form
    343,140/495,025 = 495,025/x
  3. Step 3: Cross multiply
    343,140x = 495,025 × 495,025
  4. Step 4: Simplify right side
    343,140x = 245,049,750,625
  5. Step 5: Solve for x
    x = 245,049,750,625/343,140
  6. Step 6: Final answer
    x = 714,139.27

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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.