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Finding the Third Proportional to 257,056.88 and 400,226.63

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Solution

The third proportional to 257,056.88 and 400,226.63 is: 623,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,056.88 : 400,226.63 = 400,226.63 : x
  2. Step 2: Convert to fraction form
    257,056.88/400,226.63 = 400,226.63/x
  3. Step 3: Cross multiply
    257,056.88x = 400,226.63 × 400,226.63
  4. Step 4: Simplify right side
    257,056.88x = 160,181,351,358.89
  5. Step 5: Solve for x
    x = 160,181,351,358.89/257,056.88
  6. Step 6: Final answer
    x = 623,135.84

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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.