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Finding the Third Proportional to 220,431.38 and 469,703.81

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Solution

The third proportional to 220,431.38 and 469,703.81 is: 1,000,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,431.38 : 469,703.81 = 469,703.81 : x
  2. Step 2: Convert to fraction form
    220,431.38/469,703.81 = 469,703.81/x
  3. Step 3: Cross multiply
    220,431.38x = 469,703.81 × 469,703.81
  4. Step 4: Simplify right side
    220,431.38x = 220,621,671,477.04
  5. Step 5: Solve for x
    x = 220,621,671,477.04/220,431.38
  6. Step 6: Final answer
    x = 1,000,863.29

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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.