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Finding the Third Proportional to 324,515 and 710,205

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Solution

The third proportional to 324,515 and 710,205 is: 1,554,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,515 : 710,205 = 710,205 : x
  2. Step 2: Convert to fraction form
    324,515/710,205 = 710,205/x
  3. Step 3: Cross multiply
    324,515x = 710,205 × 710,205
  4. Step 4: Simplify right side
    324,515x = 504,391,142,025
  5. Step 5: Solve for x
    x = 504,391,142,025/324,515
  6. Step 6: Final answer
    x = 1,554,292.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.