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Finding the Third Proportional to 219,315 and 455,863

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Solution

The third proportional to 219,315 and 455,863 is: 947,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,315 : 455,863 = 455,863 : x
  2. Step 2: Convert to fraction form
    219,315/455,863 = 455,863/x
  3. Step 3: Cross multiply
    219,315x = 455,863 × 455,863
  4. Step 4: Simplify right side
    219,315x = 207,811,074,769
  5. Step 5: Solve for x
    x = 207,811,074,769/219,315
  6. Step 6: Final answer
    x = 947,546.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.