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Finding the Third Proportional to 390,678 and 829,312

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Solution

The third proportional to 390,678 and 829,312 is: 1,760,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,678 : 829,312 = 829,312 : x
  2. Step 2: Convert to fraction form
    390,678/829,312 = 829,312/x
  3. Step 3: Cross multiply
    390,678x = 829,312 × 829,312
  4. Step 4: Simplify right side
    390,678x = 687,758,393,344
  5. Step 5: Solve for x
    x = 687,758,393,344/390,678
  6. Step 6: Final answer
    x = 1,760,422.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.