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Finding the Third Proportional to 387,402.75 and 519,594.75

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Solution

The third proportional to 387,402.75 and 519,594.75 is: 696,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,402.75 : 519,594.75 = 519,594.75 : x
  2. Step 2: Convert to fraction form
    387,402.75/519,594.75 = 519,594.75/x
  3. Step 3: Cross multiply
    387,402.75x = 519,594.75 × 519,594.75
  4. Step 4: Simplify right side
    387,402.75x = 269,978,704,227.56
  5. Step 5: Solve for x
    x = 269,978,704,227.56/387,402.75
  6. Step 6: Final answer
    x = 696,894.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.