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Finding the Third Proportional to 518,350.50 and 811,365

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Solution

The third proportional to 518,350.50 and 811,365 is: 1,270,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,350.50 : 811,365 = 811,365 : x
  2. Step 2: Convert to fraction form
    518,350.50/811,365 = 811,365/x
  3. Step 3: Cross multiply
    518,350.50x = 811,365 × 811,365
  4. Step 4: Simplify right side
    518,350.50x = 658,313,163,225
  5. Step 5: Solve for x
    x = 658,313,163,225/518,350.50
  6. Step 6: Final answer
    x = 1,270,015.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.