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Finding the Third Proportional to 128,076 and 205,784

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Solution

The third proportional to 128,076 and 205,784 is: 330,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,076 : 205,784 = 205,784 : x
  2. Step 2: Convert to fraction form
    128,076/205,784 = 205,784/x
  3. Step 3: Cross multiply
    128,076x = 205,784 × 205,784
  4. Step 4: Simplify right side
    128,076x = 42,347,054,656
  5. Step 5: Solve for x
    x = 42,347,054,656/128,076
  6. Step 6: Final answer
    x = 330,640.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.