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Finding the Third Proportional to 310,851 and 557,739

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Solution

The third proportional to 310,851 and 557,739 is: 1,000,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851 : 557,739 = 557,739 : x
  2. Step 2: Convert to fraction form
    310,851/557,739 = 557,739/x
  3. Step 3: Cross multiply
    310,851x = 557,739 × 557,739
  4. Step 4: Simplify right side
    310,851x = 311,072,792,121
  5. Step 5: Solve for x
    x = 311,072,792,121/310,851
  6. Step 6: Final answer
    x = 1,000,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.