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Finding the Third Proportional to 348,162 and 553,347

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Solution

The third proportional to 348,162 and 553,347 is: 879,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,162 : 553,347 = 553,347 : x
  2. Step 2: Convert to fraction form
    348,162/553,347 = 553,347/x
  3. Step 3: Cross multiply
    348,162x = 553,347 × 553,347
  4. Step 4: Simplify right side
    348,162x = 306,192,902,409
  5. Step 5: Solve for x
    x = 306,192,902,409/348,162
  6. Step 6: Final answer
    x = 879,455.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.