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Finding the Third Proportional to 357,913.69 and 777,951.84

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Solution

The third proportional to 357,913.69 and 777,951.84 is: 1,690,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,913.69 : 777,951.84 = 777,951.84 : x
  2. Step 2: Convert to fraction form
    357,913.69/777,951.84 = 777,951.84/x
  3. Step 3: Cross multiply
    357,913.69x = 777,951.84 × 777,951.84
  4. Step 4: Simplify right side
    357,913.69x = 605,209,071,194.02
  5. Step 5: Solve for x
    x = 605,209,071,194.02/357,913.69
  6. Step 6: Final answer
    x = 1,690,935.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.