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Finding the Third Proportional to 438,020 and 484,100

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Solution

The third proportional to 438,020 and 484,100 is: 535,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,020 : 484,100 = 484,100 : x
  2. Step 2: Convert to fraction form
    438,020/484,100 = 484,100/x
  3. Step 3: Cross multiply
    438,020x = 484,100 × 484,100
  4. Step 4: Simplify right side
    438,020x = 234,352,810,000
  5. Step 5: Solve for x
    x = 234,352,810,000/438,020
  6. Step 6: Final answer
    x = 535,027.65

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.