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Finding the Third Proportional to 390,668 and 829,316

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Solution

The third proportional to 390,668 and 829,316 is: 1,760,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,668 : 829,316 = 829,316 : x
  2. Step 2: Convert to fraction form
    390,668/829,316 = 829,316/x
  3. Step 3: Cross multiply
    390,668x = 829,316 × 829,316
  4. Step 4: Simplify right side
    390,668x = 687,765,027,856
  5. Step 5: Solve for x
    x = 687,765,027,856/390,668
  6. Step 6: Final answer
    x = 1,760,484.68

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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.