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Finding the Third Proportional to 299,044 and 653,128

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Solution

The third proportional to 299,044 and 653,128 is: 1,426,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,044 : 653,128 = 653,128 : x
  2. Step 2: Convert to fraction form
    299,044/653,128 = 653,128/x
  3. Step 3: Cross multiply
    299,044x = 653,128 × 653,128
  4. Step 4: Simplify right side
    299,044x = 426,576,184,384
  5. Step 5: Solve for x
    x = 426,576,184,384/299,044
  6. Step 6: Final answer
    x = 1,426,466.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.