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Finding the Third Proportional to 390,662 and 829,284

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Solution

The third proportional to 390,662 and 829,284 is: 1,760,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,662 : 829,284 = 829,284 : x
  2. Step 2: Convert to fraction form
    390,662/829,284 = 829,284/x
  3. Step 3: Cross multiply
    390,662x = 829,284 × 829,284
  4. Step 4: Simplify right side
    390,662x = 687,711,952,656
  5. Step 5: Solve for x
    x = 687,711,952,656/390,662
  6. Step 6: Final answer
    x = 1,760,375.86

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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.