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Finding the Third Proportional to 200,492 and 291,262

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Solution

The third proportional to 200,492 and 291,262 is: 423,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,492 : 291,262 = 291,262 : x
  2. Step 2: Convert to fraction form
    200,492/291,262 = 291,262/x
  3. Step 3: Cross multiply
    200,492x = 291,262 × 291,262
  4. Step 4: Simplify right side
    200,492x = 84,833,552,644
  5. Step 5: Solve for x
    x = 84,833,552,644/200,492
  6. Step 6: Final answer
    x = 423,126.87

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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.