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Finding the Third Proportional to 360,213 and 521,718

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Solution

The third proportional to 360,213 and 521,718 is: 755,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,213 : 521,718 = 521,718 : x
  2. Step 2: Convert to fraction form
    360,213/521,718 = 521,718/x
  3. Step 3: Cross multiply
    360,213x = 521,718 × 521,718
  4. Step 4: Simplify right side
    360,213x = 272,189,671,524
  5. Step 5: Solve for x
    x = 272,189,671,524/360,213
  6. Step 6: Final answer
    x = 755,635.34

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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.