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Finding the Third Proportional to 257,585.94 and 553,259.88

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Solution

The third proportional to 257,585.94 and 553,259.88 is: 1,188,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,585.94 : 553,259.88 = 553,259.88 : x
  2. Step 2: Convert to fraction form
    257,585.94/553,259.88 = 553,259.88/x
  3. Step 3: Cross multiply
    257,585.94x = 553,259.88 × 553,259.88
  4. Step 4: Simplify right side
    257,585.94x = 306,096,489,285.02
  5. Step 5: Solve for x
    x = 306,096,489,285.02/257,585.94
  6. Step 6: Final answer
    x = 1,188,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.