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Finding the Third Proportional to 343,710 and 519,988

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Solution

The third proportional to 343,710 and 519,988 is: 786,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,710 : 519,988 = 519,988 : x
  2. Step 2: Convert to fraction form
    343,710/519,988 = 519,988/x
  3. Step 3: Cross multiply
    343,710x = 519,988 × 519,988
  4. Step 4: Simplify right side
    343,710x = 270,387,520,144
  5. Step 5: Solve for x
    x = 270,387,520,144/343,710
  6. Step 6: Final answer
    x = 786,673.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.