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Finding the Third Proportional to 90,207 and 160,731

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Solution

The third proportional to 90,207 and 160,731 is: 286,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,207 : 160,731 = 160,731 : x
  2. Step 2: Convert to fraction form
    90,207/160,731 = 160,731/x
  3. Step 3: Cross multiply
    90,207x = 160,731 × 160,731
  4. Step 4: Simplify right side
    90,207x = 25,834,454,361
  5. Step 5: Solve for x
    x = 25,834,454,361/90,207
  6. Step 6: Final answer
    x = 286,390.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.