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Finding the Third Proportional to 354,516 and 777,913

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Solution

The third proportional to 354,516 and 777,913 is: 1,706,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,516 : 777,913 = 777,913 : x
  2. Step 2: Convert to fraction form
    354,516/777,913 = 777,913/x
  3. Step 3: Cross multiply
    354,516x = 777,913 × 777,913
  4. Step 4: Simplify right side
    354,516x = 605,148,635,569
  5. Step 5: Solve for x
    x = 605,148,635,569/354,516
  6. Step 6: Final answer
    x = 1,706,971.29

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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.