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Finding the Third Proportional to 354,856.50 and 814,420.50

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Solution

The third proportional to 354,856.50 and 814,420.50 is: 1,869,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,856.50 : 814,420.50 = 814,420.50 : x
  2. Step 2: Convert to fraction form
    354,856.50/814,420.50 = 814,420.50/x
  3. Step 3: Cross multiply
    354,856.50x = 814,420.50 × 814,420.50
  4. Step 4: Simplify right side
    354,856.50x = 663,280,750,820.25
  5. Step 5: Solve for x
    x = 663,280,750,820.25/354,856.50
  6. Step 6: Final answer
    x = 1,869,152.04

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.