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Finding the Third Proportional to 356,858 and 553,215

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Solution

The third proportional to 356,858 and 553,215 is: 857,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,858 : 553,215 = 553,215 : x
  2. Step 2: Convert to fraction form
    356,858/553,215 = 553,215/x
  3. Step 3: Cross multiply
    356,858x = 553,215 × 553,215
  4. Step 4: Simplify right side
    356,858x = 306,046,836,225
  5. Step 5: Solve for x
    x = 306,046,836,225/356,858
  6. Step 6: Final answer
    x = 857,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.