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Finding the Third Proportional to 229,857.75 and 356,815.13

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Solution

The third proportional to 229,857.75 and 356,815.13 is: 553,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,857.75 : 356,815.13 = 356,815.13 : x
  2. Step 2: Convert to fraction form
    229,857.75/356,815.13 = 356,815.13/x
  3. Step 3: Cross multiply
    229,857.75x = 356,815.13 × 356,815.13
  4. Step 4: Simplify right side
    229,857.75x = 127,317,033,428.77
  5. Step 5: Solve for x
    x = 127,317,033,428.77/229,857.75
  6. Step 6: Final answer
    x = 553,894.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.