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Finding the Third Proportional to 348,580 and 521,482

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Solution

The third proportional to 348,580 and 521,482 is: 780,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,580 : 521,482 = 521,482 : x
  2. Step 2: Convert to fraction form
    348,580/521,482 = 521,482/x
  3. Step 3: Cross multiply
    348,580x = 521,482 × 521,482
  4. Step 4: Simplify right side
    348,580x = 271,943,476,324
  5. Step 5: Solve for x
    x = 271,943,476,324/348,580
  6. Step 6: Final answer
    x = 780,146.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.