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Finding the Third Proportional to 387,706.50 and 579,236.06

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Solution

The third proportional to 387,706.50 and 579,236.06 is: 865,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,706.50 : 579,236.06 = 579,236.06 : x
  2. Step 2: Convert to fraction form
    387,706.50/579,236.06 = 579,236.06/x
  3. Step 3: Cross multiply
    387,706.50x = 579,236.06 × 579,236.06
  4. Step 4: Simplify right side
    387,706.50x = 335,514,416,100.50
  5. Step 5: Solve for x
    x = 335,514,416,100.50/387,706.50
  6. Step 6: Final answer
    x = 865,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.