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Finding the Third Proportional to 136,402 and 296,133

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Solution

The third proportional to 136,402 and 296,133 is: 642,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,402 : 296,133 = 296,133 : x
  2. Step 2: Convert to fraction form
    136,402/296,133 = 296,133/x
  3. Step 3: Cross multiply
    136,402x = 296,133 × 296,133
  4. Step 4: Simplify right side
    136,402x = 87,694,753,689
  5. Step 5: Solve for x
    x = 87,694,753,689/136,402
  6. Step 6: Final answer
    x = 642,913.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.