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Finding the Third Proportional to 85,397 and 136,424

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Solution

The third proportional to 85,397 and 136,424 is: 217,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,397 : 136,424 = 136,424 : x
  2. Step 2: Convert to fraction form
    85,397/136,424 = 136,424/x
  3. Step 3: Cross multiply
    85,397x = 136,424 × 136,424
  4. Step 4: Simplify right side
    85,397x = 18,611,507,776
  5. Step 5: Solve for x
    x = 18,611,507,776/85,397
  6. Step 6: Final answer
    x = 217,941.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.