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Finding the Third Proportional to 353,436 and 535,297

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Solution

The third proportional to 353,436 and 535,297 is: 810,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,436 : 535,297 = 535,297 : x
  2. Step 2: Convert to fraction form
    353,436/535,297 = 535,297/x
  3. Step 3: Cross multiply
    353,436x = 535,297 × 535,297
  4. Step 4: Simplify right side
    353,436x = 286,542,878,209
  5. Step 5: Solve for x
    x = 286,542,878,209/353,436
  6. Step 6: Final answer
    x = 810,734.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.