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Finding the Third Proportional to 368,308 and 553,831

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Solution

The third proportional to 368,308 and 553,831 is: 832,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,308 : 553,831 = 553,831 : x
  2. Step 2: Convert to fraction form
    368,308/553,831 = 553,831/x
  3. Step 3: Cross multiply
    368,308x = 553,831 × 553,831
  4. Step 4: Simplify right side
    368,308x = 306,728,776,561
  5. Step 5: Solve for x
    x = 306,728,776,561/368,308
  6. Step 6: Final answer
    x = 832,805.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.