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Finding the Third Proportional to 201,878 and 424,672

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Solution

The third proportional to 201,878 and 424,672 is: 893,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878 : 424,672 = 424,672 : x
  2. Step 2: Convert to fraction form
    201,878/424,672 = 424,672/x
  3. Step 3: Cross multiply
    201,878x = 424,672 × 424,672
  4. Step 4: Simplify right side
    201,878x = 180,346,307,584
  5. Step 5: Solve for x
    x = 180,346,307,584/201,878
  6. Step 6: Final answer
    x = 893,343.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.