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Finding the Third Proportional to 220,530.38 and 478,401.75

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Solution

The third proportional to 220,530.38 and 478,401.75 is: 1,037,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,530.38 : 478,401.75 = 478,401.75 : x
  2. Step 2: Convert to fraction form
    220,530.38/478,401.75 = 478,401.75/x
  3. Step 3: Cross multiply
    220,530.38x = 478,401.75 × 478,401.75
  4. Step 4: Simplify right side
    220,530.38x = 228,868,234,403.06
  5. Step 5: Solve for x
    x = 228,868,234,403.06/220,530.38
  6. Step 6: Final answer
    x = 1,037,808.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.