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Finding the Third Proportional to 324,897.75 and 691,885.13

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Solution

The third proportional to 324,897.75 and 691,885.13 is: 1,473,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,897.75 : 691,885.13 = 691,885.13 : x
  2. Step 2: Convert to fraction form
    324,897.75/691,885.13 = 691,885.13/x
  3. Step 3: Cross multiply
    324,897.75x = 691,885.13 × 691,885.13
  4. Step 4: Simplify right side
    324,897.75x = 478,705,026,196.27
  5. Step 5: Solve for x
    x = 478,705,026,196.27/324,897.75
  6. Step 6: Final answer
    x = 1,473,402.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.