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Finding the Third Proportional to 210,636 and 503,640

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Solution

The third proportional to 210,636 and 503,640 is: 1,204,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,636 : 503,640 = 503,640 : x
  2. Step 2: Convert to fraction form
    210,636/503,640 = 503,640/x
  3. Step 3: Cross multiply
    210,636x = 503,640 × 503,640
  4. Step 4: Simplify right side
    210,636x = 253,653,249,600
  5. Step 5: Solve for x
    x = 253,653,249,600/210,636
  6. Step 6: Final answer
    x = 1,204,225.53

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.