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Finding the Third Proportional to 299,294 and 646,066

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Solution

The third proportional to 299,294 and 646,066 is: 1,394,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294 : 646,066 = 646,066 : x
  2. Step 2: Convert to fraction form
    299,294/646,066 = 646,066/x
  3. Step 3: Cross multiply
    299,294x = 646,066 × 646,066
  4. Step 4: Simplify right side
    299,294x = 417,401,276,356
  5. Step 5: Solve for x
    x = 417,401,276,356/299,294
  6. Step 6: Final answer
    x = 1,394,619.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.