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Finding the Third Proportional to 142,846 and 272,731

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Solution

The third proportional to 142,846 and 272,731 is: 520,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,846 : 272,731 = 272,731 : x
  2. Step 2: Convert to fraction form
    142,846/272,731 = 272,731/x
  3. Step 3: Cross multiply
    142,846x = 272,731 × 272,731
  4. Step 4: Simplify right side
    142,846x = 74,382,198,361
  5. Step 5: Solve for x
    x = 74,382,198,361/142,846
  6. Step 6: Final answer
    x = 520,716.00

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.