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Finding the Third Proportional to 385,456.50 and 613,824.75

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Solution

The third proportional to 385,456.50 and 613,824.75 is: 977,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,456.50 : 613,824.75 = 613,824.75 : x
  2. Step 2: Convert to fraction form
    385,456.50/613,824.75 = 613,824.75/x
  3. Step 3: Cross multiply
    385,456.50x = 613,824.75 × 613,824.75
  4. Step 4: Simplify right side
    385,456.50x = 376,780,823,712.56
  5. Step 5: Solve for x
    x = 376,780,823,712.56/385,456.50
  6. Step 6: Final answer
    x = 977,492.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.