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Finding the Third Proportional to 434,826 and 687,258

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Solution

The third proportional to 434,826 and 687,258 is: 1,086,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,826 : 687,258 = 687,258 : x
  2. Step 2: Convert to fraction form
    434,826/687,258 = 687,258/x
  3. Step 3: Cross multiply
    434,826x = 687,258 × 687,258
  4. Step 4: Simplify right side
    434,826x = 472,323,558,564
  5. Step 5: Solve for x
    x = 472,323,558,564/434,826
  6. Step 6: Final answer
    x = 1,086,235.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.