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Finding the Third Proportional to 250,407 and 387,760.50

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Solution

The third proportional to 250,407 and 387,760.50 is: 600,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,407 : 387,760.50 = 387,760.50 : x
  2. Step 2: Convert to fraction form
    250,407/387,760.50 = 387,760.50/x
  3. Step 3: Cross multiply
    250,407x = 387,760.50 × 387,760.50
  4. Step 4: Simplify right side
    250,407x = 150,358,205,360.25
  5. Step 5: Solve for x
    x = 150,358,205,360.25/250,407
  6. Step 6: Final answer
    x = 600,455.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.