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Finding the Third Proportional to 127,893.38 and 278,492.63

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Solution

The third proportional to 127,893.38 and 278,492.63 is: 606,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,893.38 : 278,492.63 = 278,492.63 : x
  2. Step 2: Convert to fraction form
    127,893.38/278,492.63 = 278,492.63/x
  3. Step 3: Cross multiply
    127,893.38x = 278,492.63 × 278,492.63
  4. Step 4: Simplify right side
    127,893.38x = 77,558,142,179.39
  5. Step 5: Solve for x
    x = 77,558,142,179.39/127,893.38
  6. Step 6: Final answer
    x = 606,428.15

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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.