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Finding the Third Proportional to 387,788.50 and 579,336.50

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Solution

The third proportional to 387,788.50 and 579,336.50 is: 865,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,788.50 : 579,336.50 = 579,336.50 : x
  2. Step 2: Convert to fraction form
    387,788.50/579,336.50 = 579,336.50/x
  3. Step 3: Cross multiply
    387,788.50x = 579,336.50 × 579,336.50
  4. Step 4: Simplify right side
    387,788.50x = 335,630,780,232.25
  5. Step 5: Solve for x
    x = 335,630,780,232.25/387,788.50
  6. Step 6: Final answer
    x = 865,499.57

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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.