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Finding the Third Proportional to 554,980 and 830,208

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Solution

The third proportional to 554,980 and 830,208 is: 1,241,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,980 : 830,208 = 830,208 : x
  2. Step 2: Convert to fraction form
    554,980/830,208 = 830,208/x
  3. Step 3: Cross multiply
    554,980x = 830,208 × 830,208
  4. Step 4: Simplify right side
    554,980x = 689,245,323,264
  5. Step 5: Solve for x
    x = 689,245,323,264/554,980
  6. Step 6: Final answer
    x = 1,241,928.22

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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.