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Finding the Third Proportional to 634,804 and 842,478

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Solution

The third proportional to 634,804 and 842,478 is: 1,118,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,804 : 842,478 = 842,478 : x
  2. Step 2: Convert to fraction form
    634,804/842,478 = 842,478/x
  3. Step 3: Cross multiply
    634,804x = 842,478 × 842,478
  4. Step 4: Simplify right side
    634,804x = 709,769,180,484
  5. Step 5: Solve for x
    x = 709,769,180,484/634,804
  6. Step 6: Final answer
    x = 1,118,091.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.