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Finding the Third Proportional to 357,784 and 777,685

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Solution

The third proportional to 357,784 and 777,685 is: 1,690,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,784 : 777,685 = 777,685 : x
  2. Step 2: Convert to fraction form
    357,784/777,685 = 777,685/x
  3. Step 3: Cross multiply
    357,784x = 777,685 × 777,685
  4. Step 4: Simplify right side
    357,784x = 604,793,959,225
  5. Step 5: Solve for x
    x = 604,793,959,225/357,784
  6. Step 6: Final answer
    x = 1,690,388.50

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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.