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Finding the Third Proportional to 56,784 and 121,020

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Solution

The third proportional to 56,784 and 121,020 is: 257,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784 : 121,020 = 121,020 : x
  2. Step 2: Convert to fraction form
    56,784/121,020 = 121,020/x
  3. Step 3: Cross multiply
    56,784x = 121,020 × 121,020
  4. Step 4: Simplify right side
    56,784x = 14,645,840,400
  5. Step 5: Solve for x
    x = 14,645,840,400/56,784
  6. Step 6: Final answer
    x = 257,921.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.