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Finding the Third Proportional to 128,385 and 286,274.25

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Solution

The third proportional to 128,385 and 286,274.25 is: 638,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,385 : 286,274.25 = 286,274.25 : x
  2. Step 2: Convert to fraction form
    128,385/286,274.25 = 286,274.25/x
  3. Step 3: Cross multiply
    128,385x = 286,274.25 × 286,274.25
  4. Step 4: Simplify right side
    128,385x = 81,952,946,213.06
  5. Step 5: Solve for x
    x = 81,952,946,213.06/128,385
  6. Step 6: Final answer
    x = 638,337.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.