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Finding the Third Proportional to 216,850 and 521,768

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Solution

The third proportional to 216,850 and 521,768 is: 1,255,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,850 : 521,768 = 521,768 : x
  2. Step 2: Convert to fraction form
    216,850/521,768 = 521,768/x
  3. Step 3: Cross multiply
    216,850x = 521,768 × 521,768
  4. Step 4: Simplify right side
    216,850x = 272,241,845,824
  5. Step 5: Solve for x
    x = 272,241,845,824/216,850
  6. Step 6: Final answer
    x = 1,255,438.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.