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Finding the Third Proportional to 122,352 and 258,000

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Solution

The third proportional to 122,352 and 258,000 is: 544,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,352 : 258,000 = 258,000 : x
  2. Step 2: Convert to fraction form
    122,352/258,000 = 258,000/x
  3. Step 3: Cross multiply
    122,352x = 258,000 × 258,000
  4. Step 4: Simplify right side
    122,352x = 66,564,000,000
  5. Step 5: Solve for x
    x = 66,564,000,000/122,352
  6. Step 6: Final answer
    x = 544,036.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.