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Finding the Third Proportional to 315,553 and 679,220

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Solution

The third proportional to 315,553 and 679,220 is: 1,462,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,553 : 679,220 = 679,220 : x
  2. Step 2: Convert to fraction form
    315,553/679,220 = 679,220/x
  3. Step 3: Cross multiply
    315,553x = 679,220 × 679,220
  4. Step 4: Simplify right side
    315,553x = 461,339,808,400
  5. Step 5: Solve for x
    x = 461,339,808,400/315,553
  6. Step 6: Final answer
    x = 1,462,004.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.