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Finding the Third Proportional to 302,721.75 and 684,085.50

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Solution

The third proportional to 302,721.75 and 684,085.50 is: 1,545,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,721.75 : 684,085.50 = 684,085.50 : x
  2. Step 2: Convert to fraction form
    302,721.75/684,085.50 = 684,085.50/x
  3. Step 3: Cross multiply
    302,721.75x = 684,085.50 × 684,085.50
  4. Step 4: Simplify right side
    302,721.75x = 467,972,971,310.25
  5. Step 5: Solve for x
    x = 467,972,971,310.25/302,721.75
  6. Step 6: Final answer
    x = 1,545,884.86

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.