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Finding the Third Proportional to 284,884.31 and 434,561.06

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Solution

The third proportional to 284,884.31 and 434,561.06 is: 662,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,884.31 : 434,561.06 = 434,561.06 : x
  2. Step 2: Convert to fraction form
    284,884.31/434,561.06 = 434,561.06/x
  3. Step 3: Cross multiply
    284,884.31x = 434,561.06 × 434,561.06
  4. Step 4: Simplify right side
    284,884.31x = 188,843,317,041.13
  5. Step 5: Solve for x
    x = 188,843,317,041.13/284,884.31
  6. Step 6: Final answer
    x = 662,877.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.