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Finding the Third Proportional to 258,866 and 392,308

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Solution

The third proportional to 258,866 and 392,308 is: 594,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,866 : 392,308 = 392,308 : x
  2. Step 2: Convert to fraction form
    258,866/392,308 = 392,308/x
  3. Step 3: Cross multiply
    258,866x = 392,308 × 392,308
  4. Step 4: Simplify right side
    258,866x = 153,905,566,864
  5. Step 5: Solve for x
    x = 153,905,566,864/258,866
  6. Step 6: Final answer
    x = 594,537.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.