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Finding the Third Proportional to 120,030 and 258,650

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Solution

The third proportional to 120,030 and 258,650 is: 557,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030 : 258,650 = 258,650 : x
  2. Step 2: Convert to fraction form
    120,030/258,650 = 258,650/x
  3. Step 3: Cross multiply
    120,030x = 258,650 × 258,650
  4. Step 4: Simplify right side
    120,030x = 66,899,822,500
  5. Step 5: Solve for x
    x = 66,899,822,500/120,030
  6. Step 6: Final answer
    x = 557,359.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.