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Finding the Third Proportional to 205,160 and 324,586

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Solution

The third proportional to 205,160 and 324,586 is: 513,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,160 : 324,586 = 324,586 : x
  2. Step 2: Convert to fraction form
    205,160/324,586 = 324,586/x
  3. Step 3: Cross multiply
    205,160x = 324,586 × 324,586
  4. Step 4: Simplify right side
    205,160x = 105,356,071,396
  5. Step 5: Solve for x
    x = 105,356,071,396/205,160
  6. Step 6: Final answer
    x = 513,531.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.