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Finding the Third Proportional to 313,412 and 689,032

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Solution

The third proportional to 313,412 and 689,032 is: 1,514,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,412 : 689,032 = 689,032 : x
  2. Step 2: Convert to fraction form
    313,412/689,032 = 689,032/x
  3. Step 3: Cross multiply
    313,412x = 689,032 × 689,032
  4. Step 4: Simplify right side
    313,412x = 474,765,097,024
  5. Step 5: Solve for x
    x = 474,765,097,024/313,412
  6. Step 6: Final answer
    x = 1,514,827.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.