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Finding the Third Proportional to 216,657 and 521,908.88

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Solution

The third proportional to 216,657 and 521,908.88 is: 1,257,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,657 : 521,908.88 = 521,908.88 : x
  2. Step 2: Convert to fraction form
    216,657/521,908.88 = 521,908.88/x
  3. Step 3: Cross multiply
    216,657x = 521,908.88 × 521,908.88
  4. Step 4: Simplify right side
    216,657x = 272,388,873,803.77
  5. Step 5: Solve for x
    x = 272,388,873,803.77/216,657
  6. Step 6: Final answer
    x = 1,257,235.51

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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.