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Finding the Third Proportional to 677,311 and 928,778

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Solution

The third proportional to 677,311 and 928,778 is: 1,273,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,311 : 928,778 = 928,778 : x
  2. Step 2: Convert to fraction form
    677,311/928,778 = 928,778/x
  3. Step 3: Cross multiply
    677,311x = 928,778 × 928,778
  4. Step 4: Simplify right side
    677,311x = 862,628,573,284
  5. Step 5: Solve for x
    x = 862,628,573,284/677,311
  6. Step 6: Final answer
    x = 1,273,607.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.