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Finding the Third Proportional to 257,550 and 398,787

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Solution

The third proportional to 257,550 and 398,787 is: 617,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,550 : 398,787 = 398,787 : x
  2. Step 2: Convert to fraction form
    257,550/398,787 = 398,787/x
  3. Step 3: Cross multiply
    257,550x = 398,787 × 398,787
  4. Step 4: Simplify right side
    257,550x = 159,031,071,369
  5. Step 5: Solve for x
    x = 159,031,071,369/257,550
  6. Step 6: Final answer
    x = 617,476.50

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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.