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Finding the Third Proportional to 136,078 and 288,355

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Solution

The third proportional to 136,078 and 288,355 is: 611,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,078 : 288,355 = 288,355 : x
  2. Step 2: Convert to fraction form
    136,078/288,355 = 288,355/x
  3. Step 3: Cross multiply
    136,078x = 288,355 × 288,355
  4. Step 4: Simplify right side
    136,078x = 83,148,606,025
  5. Step 5: Solve for x
    x = 83,148,606,025/136,078
  6. Step 6: Final answer
    x = 611,036.36

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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.