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Finding the Third Proportional to 253,320 and 395,315

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Solution

The third proportional to 253,320 and 395,315 is: 616,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,320 : 395,315 = 395,315 : x
  2. Step 2: Convert to fraction form
    253,320/395,315 = 395,315/x
  3. Step 3: Cross multiply
    253,320x = 395,315 × 395,315
  4. Step 4: Simplify right side
    253,320x = 156,273,949,225
  5. Step 5: Solve for x
    x = 156,273,949,225/253,320
  6. Step 6: Final answer
    x = 616,903.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.