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Finding the Third Proportional to 356,856 and 553,212

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Solution

The third proportional to 356,856 and 553,212 is: 857,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,856 : 553,212 = 553,212 : x
  2. Step 2: Convert to fraction form
    356,856/553,212 = 553,212/x
  3. Step 3: Cross multiply
    356,856x = 553,212 × 553,212
  4. Step 4: Simplify right side
    356,856x = 306,043,516,944
  5. Step 5: Solve for x
    x = 306,043,516,944/356,856
  6. Step 6: Final answer
    x = 857,610.68

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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.