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Finding the Third Proportional to 257,426 and 398,595

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Solution

The third proportional to 257,426 and 398,595 is: 617,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,426 : 398,595 = 398,595 : x
  2. Step 2: Convert to fraction form
    257,426/398,595 = 398,595/x
  3. Step 3: Cross multiply
    257,426x = 398,595 × 398,595
  4. Step 4: Simplify right side
    257,426x = 158,877,974,025
  5. Step 5: Solve for x
    x = 158,877,974,025/257,426
  6. Step 6: Final answer
    x = 617,179.20

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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.