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Finding the Third Proportional to 634,544 and 870,132

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Solution

The third proportional to 634,544 and 870,132 is: 1,193,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,544 : 870,132 = 870,132 : x
  2. Step 2: Convert to fraction form
    634,544/870,132 = 870,132/x
  3. Step 3: Cross multiply
    634,544x = 870,132 × 870,132
  4. Step 4: Simplify right side
    634,544x = 757,129,697,424
  5. Step 5: Solve for x
    x = 757,129,697,424/634,544
  6. Step 6: Final answer
    x = 1,193,187.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.