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Finding the Third Proportional to 217,366.03 and 478,084.78

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Solution

The third proportional to 217,366.03 and 478,084.78 is: 1,051,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,366.03 : 478,084.78 = 478,084.78 : x
  2. Step 2: Convert to fraction form
    217,366.03/478,084.78 = 478,084.78/x
  3. Step 3: Cross multiply
    217,366.03x = 478,084.78 × 478,084.78
  4. Step 4: Simplify right side
    217,366.03x = 228,565,058,062.86
  5. Step 5: Solve for x
    x = 228,565,058,062.86/217,366.03
  6. Step 6: Final answer
    x = 1,051,521.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.