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Finding the Third Proportional to 90,639 and 136,507

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Solution

The third proportional to 90,639 and 136,507 is: 205,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 136,507 = 136,507 : x
  2. Step 2: Convert to fraction form
    90,639/136,507 = 136,507/x
  3. Step 3: Cross multiply
    90,639x = 136,507 × 136,507
  4. Step 4: Simplify right side
    90,639x = 18,634,161,049
  5. Step 5: Solve for x
    x = 18,634,161,049/90,639
  6. Step 6: Final answer
    x = 205,586.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.