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Finding the Third Proportional to 471,918 and 707,928

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Solution

The third proportional to 471,918 and 707,928 is: 1,061,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,918 : 707,928 = 707,928 : x
  2. Step 2: Convert to fraction form
    471,918/707,928 = 707,928/x
  3. Step 3: Cross multiply
    471,918x = 707,928 × 707,928
  4. Step 4: Simplify right side
    471,918x = 501,162,053,184
  5. Step 5: Solve for x
    x = 501,162,053,184/471,918
  6. Step 6: Final answer
    x = 1,061,968.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.