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Finding the Third Proportional to 467,143.88 and 721,418.06

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Solution

The third proportional to 467,143.88 and 721,418.06 is: 1,114,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,143.88 : 721,418.06 = 721,418.06 : x
  2. Step 2: Convert to fraction form
    467,143.88/721,418.06 = 721,418.06/x
  3. Step 3: Cross multiply
    467,143.88x = 721,418.06 × 721,418.06
  4. Step 4: Simplify right side
    467,143.88x = 520,444,020,901.25
  5. Step 5: Solve for x
    x = 520,444,020,901.25/467,143.88
  6. Step 6: Final answer
    x = 1,114,097.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.