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Finding the Third Proportional to 303,856.31 and 442,457.44

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Solution

The third proportional to 303,856.31 and 442,457.44 is: 644,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,856.31 : 442,457.44 = 442,457.44 : x
  2. Step 2: Convert to fraction form
    303,856.31/442,457.44 = 442,457.44/x
  3. Step 3: Cross multiply
    303,856.31x = 442,457.44 × 442,457.44
  4. Step 4: Simplify right side
    303,856.31x = 195,768,583,999.07
  5. Step 5: Solve for x
    x = 195,768,583,999.07/303,856.31
  6. Step 6: Final answer
    x = 644,280.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.