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Finding the Third Proportional to 634,536 and 870,120

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Solution

The third proportional to 634,536 and 870,120 is: 1,193,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,536 : 870,120 = 870,120 : x
  2. Step 2: Convert to fraction form
    634,536/870,120 = 870,120/x
  3. Step 3: Cross multiply
    634,536x = 870,120 × 870,120
  4. Step 4: Simplify right side
    634,536x = 757,108,814,400
  5. Step 5: Solve for x
    x = 757,108,814,400/634,536
  6. Step 6: Final answer
    x = 1,193,169.20

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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.