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Finding the Third Proportional to 518,115 and 799,313

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Solution

The third proportional to 518,115 and 799,313 is: 1,233,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,115 : 799,313 = 799,313 : x
  2. Step 2: Convert to fraction form
    518,115/799,313 = 799,313/x
  3. Step 3: Cross multiply
    518,115x = 799,313 × 799,313
  4. Step 4: Simplify right side
    518,115x = 638,901,271,969
  5. Step 5: Solve for x
    x = 638,901,271,969/518,115
  6. Step 6: Final answer
    x = 1,233,126.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.