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Finding the Third Proportional to 202,434.19 and 434,324.53

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Solution

The third proportional to 202,434.19 and 434,324.53 is: 931,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,434.19 : 434,324.53 = 434,324.53 : x
  2. Step 2: Convert to fraction form
    202,434.19/434,324.53 = 434,324.53/x
  3. Step 3: Cross multiply
    202,434.19x = 434,324.53 × 434,324.53
  4. Step 4: Simplify right side
    202,434.19x = 188,637,798,445.53
  5. Step 5: Solve for x
    x = 188,637,798,445.53/202,434.19
  6. Step 6: Final answer
    x = 931,847.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.