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Finding the Third Proportional to 387,900.50 and 605,425

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Solution

The third proportional to 387,900.50 and 605,425 is: 944,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,900.50 : 605,425 = 605,425 : x
  2. Step 2: Convert to fraction form
    387,900.50/605,425 = 605,425/x
  3. Step 3: Cross multiply
    387,900.50x = 605,425 × 605,425
  4. Step 4: Simplify right side
    387,900.50x = 366,539,430,625
  5. Step 5: Solve for x
    x = 366,539,430,625/387,900.50
  6. Step 6: Final answer
    x = 944,931.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.