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Finding the Third Proportional to 128,857.50 and 266,554.13

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Solution

The third proportional to 128,857.50 and 266,554.13 is: 551,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,857.50 : 266,554.13 = 266,554.13 : x
  2. Step 2: Convert to fraction form
    128,857.50/266,554.13 = 266,554.13/x
  3. Step 3: Cross multiply
    128,857.50x = 266,554.13 × 266,554.13
  4. Step 4: Simplify right side
    128,857.50x = 71,051,101,554.52
  5. Step 5: Solve for x
    x = 71,051,101,554.52/128,857.50
  6. Step 6: Final answer
    x = 551,392.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.