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Finding the Third Proportional to 385,665 and 830,596

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Solution

The third proportional to 385,665 and 830,596 is: 1,788,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,665 : 830,596 = 830,596 : x
  2. Step 2: Convert to fraction form
    385,665/830,596 = 830,596/x
  3. Step 3: Cross multiply
    385,665x = 830,596 × 830,596
  4. Step 4: Simplify right side
    385,665x = 689,889,715,216
  5. Step 5: Solve for x
    x = 689,889,715,216/385,665
  6. Step 6: Final answer
    x = 1,788,831.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.