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Finding the Third Proportional to 255,552 and 395,298

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Solution

The third proportional to 255,552 and 395,298 is: 611,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,552 : 395,298 = 395,298 : x
  2. Step 2: Convert to fraction form
    255,552/395,298 = 395,298/x
  3. Step 3: Cross multiply
    255,552x = 395,298 × 395,298
  4. Step 4: Simplify right side
    255,552x = 156,260,508,804
  5. Step 5: Solve for x
    x = 156,260,508,804/255,552
  6. Step 6: Final answer
    x = 611,462.67

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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.