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Finding the Third Proportional to 354,423 and 777,741

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Solution

The third proportional to 354,423 and 777,741 is: 1,706,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,423 : 777,741 = 777,741 : x
  2. Step 2: Convert to fraction form
    354,423/777,741 = 777,741/x
  3. Step 3: Cross multiply
    354,423x = 777,741 × 777,741
  4. Step 4: Simplify right side
    354,423x = 604,881,063,081
  5. Step 5: Solve for x
    x = 604,881,063,081/354,423
  6. Step 6: Final answer
    x = 1,706,664.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.