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Finding the Third Proportional to 200,507 and 431,146

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Solution

The third proportional to 200,507 and 431,146 is: 927,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,507 : 431,146 = 431,146 : x
  2. Step 2: Convert to fraction form
    200,507/431,146 = 431,146/x
  3. Step 3: Cross multiply
    200,507x = 431,146 × 431,146
  4. Step 4: Simplify right side
    200,507x = 185,886,873,316
  5. Step 5: Solve for x
    x = 185,886,873,316/200,507
  6. Step 6: Final answer
    x = 927,084.21

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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.