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Finding the Third Proportional to 255,280.50 and 557,304.75

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Solution

The third proportional to 255,280.50 and 557,304.75 is: 1,216,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280.50 : 557,304.75 = 557,304.75 : x
  2. Step 2: Convert to fraction form
    255,280.50/557,304.75 = 557,304.75/x
  3. Step 3: Cross multiply
    255,280.50x = 557,304.75 × 557,304.75
  4. Step 4: Simplify right side
    255,280.50x = 310,588,584,372.56
  5. Step 5: Solve for x
    x = 310,588,584,372.56/255,280.50
  6. Step 6: Final answer
    x = 1,216,656.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.