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Finding the Third Proportional to 128,966.63 and 208,930.50

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Solution

The third proportional to 128,966.63 and 208,930.50 is: 338,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,966.63 : 208,930.50 = 208,930.50 : x
  2. Step 2: Convert to fraction form
    128,966.63/208,930.50 = 208,930.50/x
  3. Step 3: Cross multiply
    128,966.63x = 208,930.50 × 208,930.50
  4. Step 4: Simplify right side
    128,966.63x = 43,651,953,830.25
  5. Step 5: Solve for x
    x = 43,651,953,830.25/128,966.63
  6. Step 6: Final answer
    x = 338,474.81

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.