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Finding the Third Proportional to 220,828 and 342,572

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Solution

The third proportional to 220,828 and 342,572 is: 531,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,828 : 342,572 = 342,572 : x
  2. Step 2: Convert to fraction form
    220,828/342,572 = 342,572/x
  3. Step 3: Cross multiply
    220,828x = 342,572 × 342,572
  4. Step 4: Simplify right side
    220,828x = 117,355,575,184
  5. Step 5: Solve for x
    x = 117,355,575,184/220,828
  6. Step 6: Final answer
    x = 531,434.31

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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.