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Finding the Third Proportional to 310,862 and 557,758

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Solution

The third proportional to 310,862 and 557,758 is: 1,000,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,862 : 557,758 = 557,758 : x
  2. Step 2: Convert to fraction form
    310,862/557,758 = 557,758/x
  3. Step 3: Cross multiply
    310,862x = 557,758 × 557,758
  4. Step 4: Simplify right side
    310,862x = 311,093,986,564
  5. Step 5: Solve for x
    x = 311,093,986,564/310,862
  6. Step 6: Final answer
    x = 1,000,746.27

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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.