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Finding the Third Proportional to 219,143 and 475,438

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Solution

The third proportional to 219,143 and 475,438 is: 1,031,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,143 : 475,438 = 475,438 : x
  2. Step 2: Convert to fraction form
    219,143/475,438 = 475,438/x
  3. Step 3: Cross multiply
    219,143x = 475,438 × 475,438
  4. Step 4: Simplify right side
    219,143x = 226,041,291,844
  5. Step 5: Solve for x
    x = 226,041,291,844/219,143
  6. Step 6: Final answer
    x = 1,031,478.50

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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.