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Finding the Third Proportional to 345,459 and 814,319

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Solution

The third proportional to 345,459 and 814,319 is: 1,919,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,459 : 814,319 = 814,319 : x
  2. Step 2: Convert to fraction form
    345,459/814,319 = 814,319/x
  3. Step 3: Cross multiply
    345,459x = 814,319 × 814,319
  4. Step 4: Simplify right side
    345,459x = 663,115,433,761
  5. Step 5: Solve for x
    x = 663,115,433,761/345,459
  6. Step 6: Final answer
    x = 1,919,519.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.