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Finding the Third Proportional to 353,058 and 777,378

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Solution

The third proportional to 353,058 and 777,378 is: 1,711,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,058 : 777,378 = 777,378 : x
  2. Step 2: Convert to fraction form
    353,058/777,378 = 777,378/x
  3. Step 3: Cross multiply
    353,058x = 777,378 × 777,378
  4. Step 4: Simplify right side
    353,058x = 604,316,554,884
  5. Step 5: Solve for x
    x = 604,316,554,884/353,058
  6. Step 6: Final answer
    x = 1,711,663.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.