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Finding the Third Proportional to 313,645 and 679,130

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Solution

The third proportional to 313,645 and 679,130 is: 1,470,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,645 : 679,130 = 679,130 : x
  2. Step 2: Convert to fraction form
    313,645/679,130 = 679,130/x
  3. Step 3: Cross multiply
    313,645x = 679,130 × 679,130
  4. Step 4: Simplify right side
    313,645x = 461,217,556,900
  5. Step 5: Solve for x
    x = 461,217,556,900/313,645
  6. Step 6: Final answer
    x = 1,470,508.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.