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Finding the Third Proportional to 485,772 and 679,308

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Solution

The third proportional to 485,772 and 679,308 is: 949,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,772 : 679,308 = 679,308 : x
  2. Step 2: Convert to fraction form
    485,772/679,308 = 679,308/x
  3. Step 3: Cross multiply
    485,772x = 679,308 × 679,308
  4. Step 4: Simplify right side
    485,772x = 461,459,358,864
  5. Step 5: Solve for x
    x = 461,459,358,864/485,772
  6. Step 6: Final answer
    x = 949,950.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.