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Finding the Third Proportional to 423,120 and 656,208

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Solution

The third proportional to 423,120 and 656,208 is: 1,017,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,120 : 656,208 = 656,208 : x
  2. Step 2: Convert to fraction form
    423,120/656,208 = 656,208/x
  3. Step 3: Cross multiply
    423,120x = 656,208 × 656,208
  4. Step 4: Simplify right side
    423,120x = 430,608,939,264
  5. Step 5: Solve for x
    x = 430,608,939,264/423,120
  6. Step 6: Final answer
    x = 1,017,699.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.