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Finding the Third Proportional to 200,345 and 286,475

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Solution

The third proportional to 200,345 and 286,475 is: 409,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,345 : 286,475 = 286,475 : x
  2. Step 2: Convert to fraction form
    200,345/286,475 = 286,475/x
  3. Step 3: Cross multiply
    200,345x = 286,475 × 286,475
  4. Step 4: Simplify right side
    200,345x = 82,067,925,625
  5. Step 5: Solve for x
    x = 82,067,925,625/200,345
  6. Step 6: Final answer
    x = 409,633.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.