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Finding the Third Proportional to 255,210.75 and 376,978.50

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Solution

The third proportional to 255,210.75 and 376,978.50 is: 556,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,210.75 : 376,978.50 = 376,978.50 : x
  2. Step 2: Convert to fraction form
    255,210.75/376,978.50 = 376,978.50/x
  3. Step 3: Cross multiply
    255,210.75x = 376,978.50 × 376,978.50
  4. Step 4: Simplify right side
    255,210.75x = 142,112,789,462.25
  5. Step 5: Solve for x
    x = 142,112,789,462.25/255,210.75
  6. Step 6: Final answer
    x = 556,844.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.