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Finding the Third Proportional to 257,428 and 398,598

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Solution

The third proportional to 257,428 and 398,598 is: 617,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,428 : 398,598 = 398,598 : x
  2. Step 2: Convert to fraction form
    257,428/398,598 = 398,598/x
  3. Step 3: Cross multiply
    257,428x = 398,598 × 398,598
  4. Step 4: Simplify right side
    257,428x = 158,880,365,604
  5. Step 5: Solve for x
    x = 158,880,365,604/257,428
  6. Step 6: Final answer
    x = 617,183.70

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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.