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Finding the Third Proportional to 274,358 and 391,579

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Solution

The third proportional to 274,358 and 391,579 is: 558,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,358 : 391,579 = 391,579 : x
  2. Step 2: Convert to fraction form
    274,358/391,579 = 391,579/x
  3. Step 3: Cross multiply
    274,358x = 391,579 × 391,579
  4. Step 4: Simplify right side
    274,358x = 153,334,113,241
  5. Step 5: Solve for x
    x = 153,334,113,241/274,358
  6. Step 6: Final answer
    x = 558,883.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.