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Finding the Third Proportional to 258,231 and 559,342.50

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Solution

The third proportional to 258,231 and 559,342.50 is: 1,211,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,231 : 559,342.50 = 559,342.50 : x
  2. Step 2: Convert to fraction form
    258,231/559,342.50 = 559,342.50/x
  3. Step 3: Cross multiply
    258,231x = 559,342.50 × 559,342.50
  4. Step 4: Simplify right side
    258,231x = 312,864,032,306.25
  5. Step 5: Solve for x
    x = 312,864,032,306.25/258,231
  6. Step 6: Final answer
    x = 1,211,566.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.