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Finding the Third Proportional to 382,210 and 573,409

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Solution

The third proportional to 382,210 and 573,409 is: 860,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,210 : 573,409 = 573,409 : x
  2. Step 2: Convert to fraction form
    382,210/573,409 = 573,409/x
  3. Step 3: Cross multiply
    382,210x = 573,409 × 573,409
  4. Step 4: Simplify right side
    382,210x = 328,797,881,281
  5. Step 5: Solve for x
    x = 328,797,881,281/382,210
  6. Step 6: Final answer
    x = 860,254.52

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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.