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Finding the Third Proportional to 120,280 and 258,295

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Solution

The third proportional to 120,280 and 258,295 is: 554,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,280 : 258,295 = 258,295 : x
  2. Step 2: Convert to fraction form
    120,280/258,295 = 258,295/x
  3. Step 3: Cross multiply
    120,280x = 258,295 × 258,295
  4. Step 4: Simplify right side
    120,280x = 66,716,307,025
  5. Step 5: Solve for x
    x = 66,716,307,025/120,280
  6. Step 6: Final answer
    x = 554,674.98

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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.