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Finding the Third Proportional to 257,484.75 and 377,009.25

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Solution

The third proportional to 257,484.75 and 377,009.25 is: 552,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,484.75 : 377,009.25 = 377,009.25 : x
  2. Step 2: Convert to fraction form
    257,484.75/377,009.25 = 377,009.25/x
  3. Step 3: Cross multiply
    257,484.75x = 377,009.25 × 377,009.25
  4. Step 4: Simplify right side
    257,484.75x = 142,135,974,585.56
  5. Step 5: Solve for x
    x = 142,135,974,585.56/257,484.75
  6. Step 6: Final answer
    x = 552,017.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.