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Finding the Third Proportional to 443,424 and 662,220

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Solution

The third proportional to 443,424 and 662,220 is: 988,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,424 : 662,220 = 662,220 : x
  2. Step 2: Convert to fraction form
    443,424/662,220 = 662,220/x
  3. Step 3: Cross multiply
    443,424x = 662,220 × 662,220
  4. Step 4: Simplify right side
    443,424x = 438,535,328,400
  5. Step 5: Solve for x
    x = 438,535,328,400/443,424
  6. Step 6: Final answer
    x = 988,975.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.