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Finding the Third Proportional to 307,858 and 460,558

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Solution

The third proportional to 307,858 and 460,558 is: 688,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,858 : 460,558 = 460,558 : x
  2. Step 2: Convert to fraction form
    307,858/460,558 = 460,558/x
  3. Step 3: Cross multiply
    307,858x = 460,558 × 460,558
  4. Step 4: Simplify right side
    307,858x = 212,113,671,364
  5. Step 5: Solve for x
    x = 212,113,671,364/307,858
  6. Step 6: Final answer
    x = 688,998.41

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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.