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Finding the Third Proportional to 221,641.88 and 351,018.56

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Solution

The third proportional to 221,641.88 and 351,018.56 is: 555,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,641.88 : 351,018.56 = 351,018.56 : x
  2. Step 2: Convert to fraction form
    221,641.88/351,018.56 = 351,018.56/x
  3. Step 3: Cross multiply
    221,641.88x = 351,018.56 × 351,018.56
  4. Step 4: Simplify right side
    221,641.88x = 123,214,031,219.57
  5. Step 5: Solve for x
    x = 123,214,031,219.57/221,641.88
  6. Step 6: Final answer
    x = 555,914.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.