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Finding the Third Proportional to 62,458 and 136,413

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Solution

The third proportional to 62,458 and 136,413 is: 297,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,458 : 136,413 = 136,413 : x
  2. Step 2: Convert to fraction form
    62,458/136,413 = 136,413/x
  3. Step 3: Cross multiply
    62,458x = 136,413 × 136,413
  4. Step 4: Simplify right side
    62,458x = 18,608,506,569
  5. Step 5: Solve for x
    x = 18,608,506,569/62,458
  6. Step 6: Final answer
    x = 297,936.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.