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Finding the Third Proportional to 136,444 and 289,352

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Solution

The third proportional to 136,444 and 289,352 is: 613,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,444 : 289,352 = 289,352 : x
  2. Step 2: Convert to fraction form
    136,444/289,352 = 289,352/x
  3. Step 3: Cross multiply
    136,444x = 289,352 × 289,352
  4. Step 4: Simplify right side
    136,444x = 83,724,579,904
  5. Step 5: Solve for x
    x = 83,724,579,904/136,444
  6. Step 6: Final answer
    x = 613,618.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.