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Finding the Third Proportional to 208,428 and 424,220

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Solution

The third proportional to 208,428 and 424,220 is: 863,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428 : 424,220 = 424,220 : x
  2. Step 2: Convert to fraction form
    208,428/424,220 = 424,220/x
  3. Step 3: Cross multiply
    208,428x = 424,220 × 424,220
  4. Step 4: Simplify right side
    208,428x = 179,962,608,400
  5. Step 5: Solve for x
    x = 179,962,608,400/208,428
  6. Step 6: Final answer
    x = 863,428.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.