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Finding the Third Proportional to 200,490 and 291,259

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Solution

The third proportional to 200,490 and 291,259 is: 423,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490 : 291,259 = 291,259 : x
  2. Step 2: Convert to fraction form
    200,490/291,259 = 291,259/x
  3. Step 3: Cross multiply
    200,490x = 291,259 × 291,259
  4. Step 4: Simplify right side
    200,490x = 84,831,805,081
  5. Step 5: Solve for x
    x = 84,831,805,081/200,490
  6. Step 6: Final answer
    x = 423,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.