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Finding the Third Proportional to 202,730 and 431,704

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Solution

The third proportional to 202,730 and 431,704 is: 919,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,730 : 431,704 = 431,704 : x
  2. Step 2: Convert to fraction form
    202,730/431,704 = 431,704/x
  3. Step 3: Cross multiply
    202,730x = 431,704 × 431,704
  4. Step 4: Simplify right side
    202,730x = 186,368,343,616
  5. Step 5: Solve for x
    x = 186,368,343,616/202,730
  6. Step 6: Final answer
    x = 919,293.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.