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Finding the Third Proportional to 219,064.50 and 478,679.63

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Solution

The third proportional to 219,064.50 and 478,679.63 is: 1,045,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,064.50 : 478,679.63 = 478,679.63 : x
  2. Step 2: Convert to fraction form
    219,064.50/478,679.63 = 478,679.63/x
  3. Step 3: Cross multiply
    219,064.50x = 478,679.63 × 478,679.63
  4. Step 4: Simplify right side
    219,064.50x = 229,134,183,390.14
  5. Step 5: Solve for x
    x = 229,134,183,390.14/219,064.50
  6. Step 6: Final answer
    x = 1,045,966.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.