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Finding the Third Proportional to 385,114.50 and 821,749.50

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Solution

The third proportional to 385,114.50 and 821,749.50 is: 1,753,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,114.50 : 821,749.50 = 821,749.50 : x
  2. Step 2: Convert to fraction form
    385,114.50/821,749.50 = 821,749.50/x
  3. Step 3: Cross multiply
    385,114.50x = 821,749.50 × 821,749.50
  4. Step 4: Simplify right side
    385,114.50x = 675,272,240,750.25
  5. Step 5: Solve for x
    x = 675,272,240,750.25/385,114.50
  6. Step 6: Final answer
    x = 1,753,432.40

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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.