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Finding the Third Proportional to 299,358 and 646,200

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Solution

The third proportional to 299,358 and 646,200 is: 1,394,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,358 : 646,200 = 646,200 : x
  2. Step 2: Convert to fraction form
    299,358/646,200 = 646,200/x
  3. Step 3: Cross multiply
    299,358x = 646,200 × 646,200
  4. Step 4: Simplify right side
    299,358x = 417,574,440,000
  5. Step 5: Solve for x
    x = 417,574,440,000/299,358
  6. Step 6: Final answer
    x = 1,394,899.89

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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.