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Finding the Third Proportional to 1,382,115.66 and 2,185,428.09

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Solution

The third proportional to 1,382,115.66 and 2,185,428.09 is: 3,455,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,115.66 : 2,185,428.09 = 2,185,428.09 : x
  2. Step 2: Convert to fraction form
    1,382,115.66/2,185,428.09 = 2,185,428.09/x
  3. Step 3: Cross multiply
    1,382,115.66x = 2,185,428.09 × 2,185,428.09
  4. Step 4: Simplify right side
    1,382,115.66x = 4,776,095,952,951.76
  5. Step 5: Solve for x
    x = 4,776,095,952,951.76/1,382,115.66
  6. Step 6: Final answer
    x = 3,455,641.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.