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Finding the Third Proportional to 208,426.50 and 424,218.75

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Solution

The third proportional to 208,426.50 and 424,218.75 is: 863,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,426.50 : 424,218.75 = 424,218.75 : x
  2. Step 2: Convert to fraction form
    208,426.50/424,218.75 = 424,218.75/x
  3. Step 3: Cross multiply
    208,426.50x = 424,218.75 × 424,218.75
  4. Step 4: Simplify right side
    208,426.50x = 179,961,547,851.56
  5. Step 5: Solve for x
    x = 179,961,547,851.56/208,426.50
  6. Step 6: Final answer
    x = 863,429.30

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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.