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Finding the Third Proportional to 135,455 and 296,065

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Solution

The third proportional to 135,455 and 296,065 is: 647,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,455 : 296,065 = 296,065 : x
  2. Step 2: Convert to fraction form
    135,455/296,065 = 296,065/x
  3. Step 3: Cross multiply
    135,455x = 296,065 × 296,065
  4. Step 4: Simplify right side
    135,455x = 87,654,484,225
  5. Step 5: Solve for x
    x = 87,654,484,225/135,455
  6. Step 6: Final answer
    x = 647,111.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.