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Finding the Third Proportional to 136,488.38 and 296,554.92

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Solution

The third proportional to 136,488.38 and 296,554.92 is: 644,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,488.38 : 296,554.92 = 296,554.92 : x
  2. Step 2: Convert to fraction form
    136,488.38/296,554.92 = 296,554.92/x
  3. Step 3: Cross multiply
    136,488.38x = 296,554.92 × 296,554.92
  4. Step 4: Simplify right side
    136,488.38x = 87,944,821,688.29
  5. Step 5: Solve for x
    x = 87,944,821,688.29/136,488.38
  6. Step 6: Final answer
    x = 644,339.28

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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.