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Finding the Third Proportional to 315,026 and 679,826

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Solution

The third proportional to 315,026 and 679,826 is: 1,467,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,026 : 679,826 = 679,826 : x
  2. Step 2: Convert to fraction form
    315,026/679,826 = 679,826/x
  3. Step 3: Cross multiply
    315,026x = 679,826 × 679,826
  4. Step 4: Simplify right side
    315,026x = 462,163,390,276
  5. Step 5: Solve for x
    x = 462,163,390,276/315,026
  6. Step 6: Final answer
    x = 1,467,064.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.