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Finding the Third Proportional to 617,317 and 819,318

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Solution

The third proportional to 617,317 and 819,318 is: 1,087,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,317 : 819,318 = 819,318 : x
  2. Step 2: Convert to fraction form
    617,317/819,318 = 819,318/x
  3. Step 3: Cross multiply
    617,317x = 819,318 × 819,318
  4. Step 4: Simplify right side
    617,317x = 671,281,985,124
  5. Step 5: Solve for x
    x = 671,281,985,124/617,317
  6. Step 6: Final answer
    x = 1,087,418.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.