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Finding the Third Proportional to 378,457.50 and 805,965

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Solution

The third proportional to 378,457.50 and 805,965 is: 1,716,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,457.50 : 805,965 = 805,965 : x
  2. Step 2: Convert to fraction form
    378,457.50/805,965 = 805,965/x
  3. Step 3: Cross multiply
    378,457.50x = 805,965 × 805,965
  4. Step 4: Simplify right side
    378,457.50x = 649,579,581,225
  5. Step 5: Solve for x
    x = 649,579,581,225/378,457.50
  6. Step 6: Final answer
    x = 1,716,387.13

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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.