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Finding the Third Proportional to 390,720 and 829,402

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Solution

The third proportional to 390,720 and 829,402 is: 1,760,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,720 : 829,402 = 829,402 : x
  2. Step 2: Convert to fraction form
    390,720/829,402 = 829,402/x
  3. Step 3: Cross multiply
    390,720x = 829,402 × 829,402
  4. Step 4: Simplify right side
    390,720x = 687,907,677,604
  5. Step 5: Solve for x
    x = 687,907,677,604/390,720
  6. Step 6: Final answer
    x = 1,760,615.47

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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.