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Finding the Third Proportional to 119,862 and 258,405.19

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Solution

The third proportional to 119,862 and 258,405.19 is: 557,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,862 : 258,405.19 = 258,405.19 : x
  2. Step 2: Convert to fraction form
    119,862/258,405.19 = 258,405.19/x
  3. Step 3: Cross multiply
    119,862x = 258,405.19 × 258,405.19
  4. Step 4: Simplify right side
    119,862x = 66,773,240,926.91
  5. Step 5: Solve for x
    x = 66,773,240,926.91/119,862
  6. Step 6: Final answer
    x = 557,084.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.